A Treatment of the Schwinger Model within Noncommutative Geometry (2008)
The Erwin, Schrodinger International Boltzmanngasse, H. Grosse, H. Grosse, P. Presnajder, P. Presnajder
We describe a free spinor field on a noncommutative sphere starting from a canonical realization of the algebra U(u(2j1)) and a sequence of su(2)-invariant embeddings of su(2) representations. The...
On the Global Gross-Prasad conjecture for Yoshida Liftings (2008)
The Erwin, Schrodinger International Boltzmanngasse, For Yoshida Liftings, Rainer Schulze-pillot, Siegfried Böcherer, Masaaki Furusawa, ...
this article. For details we refer to the cited articles. We consider a de nite quaternion algebra D over Q and an Eichler order R of square free level N in it and decompose N as N = N 1 N 2 where N...
Construction of Pseudorandom Binary Sequences using Additive Characters (2008)
The Erwin, Joël Rivat, András Sárközy, Schrodinger International Boltzmanngasse, Christian Mauduit
In earlier papers the authors studied nite pseudorandom binary sequences, and they constructed sequences with strong pseudorandom properties. In these earlier constructions multiplicative characters...
The Erwin, Schrodinger International Boltzmanngasse, A. Backer, N. Chernov, N. Chernov
for two-dimensional hyperbolic maps
The Erwin, Schrodinger International Boltzmanngasse, O. Hryniv, O. Hryniv
On local behaviour of the phase separation line
Symplectic Cuts and Projection Quantization (2007)
The Erwin, Schrodinger International Boltzmanngasse, Thomas Strobl, Martin Bojowald, Martin Bojowald
and Thomas Strobl by a
ON THE MULTIPLICITY OF EIGENVALUES OF THE LAPLACIAN ON SURFACES (2007)
The Erwin, Schrodinger International Boltzmanngasse, M. Hoffmann--ostenhof, T. Hoffmann--ostenhof, M. Hoffmann-ostenhof, T. Hoffmann-ostenhof, ...
We show that the multiplicity of the eigenvalues of the Laplace Beltrami operator on compact Riemannian surfaces with genus zero is bounded by m ( k) 2k \Gamma 3 for k 3. Here we label the...
The Erwin, Schrodinger International Boltzmanngasse, Elliott H. Lieb, Elliott H. Lieb, Robert Seiringer, Robert Seiringer, ...
We consider the ground state properties of an inhomogeneous twodimensional Bose gas with a repulsive, short range pair interaction and an external conning potential. In the limit when the particle...
From Euclidean Field Theory to Quantum Field Theory (2007)
The Erwin, Schrodinger International Boltzmanngasse, Dirk Schlingemann, Dirk Schlingemann
From euclidean field theory to quantum field theory
Asymptotic Structure of Symmetry Reduced General Relativity (2007)
The Erwin, Schrodinger International Boltzmanngasse, Abhay Ashtekar, Abhay Ashtekar, Bernd G. Schmidt, Bernd G. Schmidt
Asymptotic structure of symmetry reduced general relativity
The Erwin, Schrodinger International Boltzmanngasse, H. Grosse, G. Reiter
math-ph/9804013 mp-arc/98-283 ESI 546
RIEMANNIAN GEOMETRY OF QUANTUM GROUPS AND FINITE GROUPS WITH NONUNIVERSAL DIFFERENTIALS (2007)
The Erwin, Schrodinger International Boltzmanngasse, Shahn Majid, Shahn Majid
Abstract We construct noncommutative `Riemannian manifold ' structures on dual quasitriangular Hopf algebras such as C q [SU 2] with its standard bicovariant dierential calculus, using the...
Solutions of Finite Type of Sine--Gordon Equation (2007)
The Erwin, Schrodinger International Boltzmanngasse, Guosong Zhao, Guosong Zhao
Solutions of finite type of sine-Gordon equation
of Russian Academy of Sciences, (2007)
The Erwin, Schrodinger International Boltzmanngasse, N. A. Gromov, N. A. Gromov, S. S. Moskaliuk, S. S. Moskaliuk
Multidimensional contractions of irreducible representations of Cayley--Klein orthogonal algebras in Gel'fand--Zetlin basis are considered. Contracted over different parameters, algebras can...
PERIODIC MAGNETIC HAMILTONIAN WITH A VARIABLE METRIC. THE PROBLEM OF ABSOLUTE CONTINUITY (2007)
The Erwin, Schrodinger International Boltzmanngasse, M. Sh. Birman, M. Sh. Birman, T. A. Suslina, T. A. Suslina
Abstract. Survey. We discuss a question of the absolute continuity of the spectrum of the periodic Schrodinger operator in L 2 (R d) with a variable metric and magnetic and electric potentials....
COMPACT KAC ALGEBRAS AND COMMUTING SQUARES (2007)
The Erwin, Schrodinger International Boltzmanngasse, Teodor Banica, Teodor Banica, Teodor Banica, Teodor Banica
We consider commuting squares of finite dimensional von Neumann algebras having the algebra of complex numbers in the lower left corner. Examples include the vertex models, the spin models (in the...
Entropy of Gaussian actions for countable Abelian groups (2007)
The Erwin, Schrodinger International Boltzmanngasse
We prove that for any countable Abelian group A and any its Gaussian action, the entropy is either zero or infinity and moreover, the former case happens iff the spectral measure of the Gaussian...
NECESSARY CONDITIONS FOR CONVEXIFIABILITY OF FINITE TYPE DOMAINS IN C (2007)
The Erwin, Schrodinger International Boltzmanngasse
Abstract. In this paper we give an explicit necessary condition for local convexifiability of a weakly pseudoconvex domain at a point of finite type. The condition is formulated in terms of the...
A GERBE OBSTRUCTION TO QUANTIZATION OF FERMIONS ON ODD DIMENSIONAL MANIFOLDS WITH BOUNDARY (2007)
The Erwin, Schrodinger International Boltzmanngasse, Alan Carey, Alan Carey, Jouko Mickelsson, Jouko Mickelsson
ABSTRACT We consider the canonical quantization of fermions on an odd dimensional manifold with boundary, with respect to a family of elliptic hermitean boundary conditions for the Dirac hamiltonian....
Supported by Federal Ministry of Science and Research, Austria (2007)
The Erwin, Schrodinger International Boltzmanngasse, N. Chernov, N. Chernov, R. Markarian, R. Markarian, ...
Conditionally invariant measures for Anosov maps with small holes
On Filippov algebroids and multiplicative Nambu-Poisson structures (2007)
The Erwin, Schrodinger International Boltzmanngasse, J. Grabowski, J. Grabowski, G. Marmo, G. Marmo
We discuss relations of linear Nambu-Poisson structures to Filippov algebras and define a Filippov algebroid-- a generalization of a Lie algebroid. We also prove results describing multiplicative...
Towards Quantum Mathematics Part II: Manifold Notions (2007)
The Erwin, Schrodinger International Boltzmanngasse
Here we use the language of quantum set theory, developed in Part I of this work, to explore quantized (i.e. categorified) manifold notions. We first deal with the differentiable structure in the...
The Erwin, Schrodinger International Boltzmanngasse, M. Sh. Birman, M. Sh. Birman, M. Solomyak, M. Solomyak
be an unbounded domain, periodic along a chosen direction (a waveguide-type domain), P be a self-adjoint elliptic second order operator in L 2( 1 periodic along the same direction, and V be a...
Report No: UWThPh-1997-38 Geodesics and Geodesic Deviation for Impulsive Gravitational Waves (2007)
The Erwin, Schrodinger International Boltzmanngasse, R. Steinbauer, R. Steinbauer
The geometry of impulsive pp-waves is explored via the analysis of the geodesic and geodesic deviation equation using the distributional form of the metric. The geodesic equation involves formally...
The Erwin, Schrodinger International Boltzmanngasse, Thomas Mohaupt, Thomas Mohaupt
hep-th/yymmnnn
On Locally q--Complete Domains in Kahler Manifolds (2007)
The Erwin, Schrodinger International Boltzmanngasse, Viorel Vajaitu, Viorel Vajaitu
On locally q-complete domains in Kahler manifolds
Asymptotic Expansions of Berezin Transforms (2007)
The Erwin, Schrodinger International Boltzmanngasse, Jonathan Arazy, Jonathan Arazy, Bent Orsted, Bent Orsted
We study a new method of expanding Berezin transforms corresponding to various weighted volume measures on symmetric domains. The main result is an explicit asymptotic expansion for such a transform...
Homogeneous Connections with Special (2007)
The Erwin, Schrodinger International Boltzmanngasse, Special Symplectic Holonomy, Symplectic Holonomy, Lorenz J. Schwachhofer, Lorenz J. Schwachhofer
We classify all homogeneous symplectic manifolds with a torsion free connection of special symplectic holonomy, i.e. a connection whose holonomy is an absolutely irreducible proper subgroup of the...
Colombeau Generalized Ultradistributions (2007)
The Erwin, Schrodinger International Boltzmanngasse, Colombeau Generalized Ultradistributions, D. Scarpalezos, D. Scarpalezos
An algebra of Colombeau generalized ultradistributions in which the corresponding space of ultradistributions is embedded via regularizations and in which the multiplication of ultradifferentiable...
HOMOCLINIC POINTS OF ALGEBRAIC (2007)
The Erwin, Schrodinger International Boltzmanngasse, Douglas Lind, Douglas Lind, Klaus Schmidt, Klaus Schmidt
Abstract. Let ff be an action of Z d by continuous automorphisms of a compact abelian group X. A point x in X is called homoclinic for ff if ff
The Erwin, Schrodinger International Boltzmanngasse, Loop Quantum Gravity, Black Hole, Carlo Rovelli, Carlo Rovelli
I summarize the basic ideas and formalism of loop quantum gravity. I illustrate the results on the discrete aspects of quantum geometry and two applications of these results to black hole physics. In...
The Erwin, Schrodinger International Boltzmanngasse, Klaus Schmidt, Klaus Schmidt
Abstract. Let T be a measure-preserving and ergodic automorphism of a probability space (X;S;). By modifying an argument in [3] we obtain a suOEcient condition for recurrence of the d-dimensional...
The Erwin, Schrodinger International Boltzmanngasse, A. Antonevich, A. Antonevich
odinger Equation with Point Interaction in an algebra of new generalized functions by
The Wess-Zumino Consistency Condition For p-Form Gauge Theories (2007)
The Erwin, Schrodinger International Boltzmanngasse, Marc Henneaux, Marc Henneaux, Bernard Knaepen, Bernard Knaepen
for p-Form
DEFORMATION QUANTIZATIONS OF THE POISSON ALGEBRA OF LAURENT POLYNOMIALS (2007)
The Erwin, Schrodinger International Boltzmanngasse, Yoshiaki Maeda, Akira Yoshioka, Hideki Omori, Hideki Omori, ...
Abstract. It is well known that the Moyal bracket gives a unique deformation quantization of the canonical phase space R 2n up to equivalence. In his presentation of an interesting deformation...
The Erwin, Schrodinger International Boltzmanngasse, S. Fournais, S. Fournais
On the semiclassical asymptotics of the current and magnetisation of a non-interacting electron gas at zero temperature in a strong constant magnetic eld.
Kinetic Schemes and Boundary Conditions for Moment Equations (2007)
The Erwin, Schrodinger International Boltzmanngasse, H. Struchtrup, Henning Struchtrup
Kinetic schemes and boundary conditions for moment equations
Zero-Relaxation-Time Limits in the Hydrodynamic Equations for Plasmas Revisited (2007)
The Erwin, Schrodinger International Boltzmanngasse, Ansgar Jungel, Ansgar Jungel, Yue-jun Peng, Yue-jun Peng
A rigorous proof of the zero-relaxation-time limits in the hydrodynamic equations for plasmas is given. The equations consist of the Euler equations for the electrons and/or ions coupled with a...
PROBLEMS OF QUANTUM FIELD THEORY (2007)
The Erwin, Schrodinger International Boltzmanngasse, N. Ilieva, N. Ilieva, W. Thirring, W. Thirring
for Mathematical Physics Solutions to the Thirring model are constructed in the framework of algebraic quantum field theory. It is shown that for all positive temperatures there are fermionic...
The Kernel of Dirac Operators on S (2007)
The Erwin, Schrodinger International Boltzmanngasse, L. Erdos, J. P. Solovej, ...
The kernel of Dirac operators on S 3
Supported by Federal Ministry of Science and Transport, Austria (2007)
The Erwin, Schrodinger International Boltzmanngasse, G. Popov, G. Popov, G. Vodev, G. Vodev
Distribution of the resonances and local energy decay in the transmission problem
Uniform Algebras As Banach Spaces (2007)
Gamelin Kislyakov June, The Erwin, Schrodinger International Boltzmanngasse, T. W. Gamelin, T. W. Gamelin, S. V. Kislyakov, ...
Any Banach space can be realized as a direct summand of a uniform algebra, and one does not expect an arbitrary uniform algebra to have an abundance of properties not common to all Banach spaces. One...
ON THE PERFECTNESS OF NONTRANSITIVE GROUPS OF DIFFEOMORPHISMS (2007)
The Erwin, Schrodinger International Boltzmanngasse, Stefan Haller, Stefan Haller, Tomasz Rybicki, Tomasz Rybicki
Abstract. It is proven that the identity component of the group preserving the leaves of a generalized foliation is perfect. This shows that a well-known simplicity theorem on the diffeomorphism...
COMPATIBLE ALMOST COMPLEX STRUCTURES ON QUATERNION-K AHLER MANIFOLDS D.V. ALEKSEEVSKY 1 (2007)
The Erwin, Schrodinger International Boltzmanngasse, D. V. Alekseevsky, S. Marchiafava, S. Marchiafava, M. Pontecorvo, ...
Abstract. Let (M
Double Categories in Mathematical Physics (2007)
The Erwin, Schrodinger International Boltzmanngasse, S. S. Moskaliuk, A. T. Vlassov
Expansion of the categorical point of view on many areas of the mathematics and mathematical physics will cause to deeper understanding of genuine features of these problems. New applications of...
Maximal Non-Abelian Gauges and Topology of Gauge Orbit Space (2007)
The Erwin, Schrodinger International Boltzmanngasse, M. Asorey, M. Asorey
We introduce two maximal non-abelian gauge fixing conditions on the space of gauge orbits M for gauge theories over spaces with dimensions d 3. The gauge fixings are complete in the sense that...
NONCOMMUTATIVE LATTICES AND THE ALGEBRAS OF THEIR CONTINUOUS FUNCTIONS (2007)
The Erwin, Schrodinger International Boltzmanngasse, Paulo Teotonio--sobrinho, Elisa Ercolessi, Elisa Ercolessi, Giovanni Landi, ...
Recently a new kind of approximation to continuum topological spaces has been introduced, the approximating spaces being partially ordered sets (posets) with a finite or at most a countable number of...
Ane Embeddings of Homogeneous Spaces (2007)
The Erwin, Schrodinger International Boltzmanngasse, I. V. Arzhantsev, I. V. Arzhantsev, D. A. Timashev, D. A. Timashev
Let G be a reductive algebraic group and let H be a reductive subgroup of G. We describe all pairs (G; H) such that for any ane G-variety X with a dense G-orbit isomorphic to G=H the number of...
, Karl-Georg Schlesinger (2007)
The Erwin, Schrodinger International Boltzmanngasse, Harald Grosse
Deformations of conformal eld theories to models with noncommutative world sheets
VERDIER-RIEMANN-ROCH FOR CHERN CLASS AND MILNOR CLASS SHOJI YOKURA (2007)
The Erwin, Schrodinger International Boltzmanngasse, Shoji Yokura
Abstract. The original Verdier-Riemann-Roch says that for a local complete intersection morphism f: X! Y the pullback of K-theory f: K 0 (Y) ! K 0 (X) and the homology pullback td(T f) \ f: H (Y) Q!...
The Erwin, Schrodinger International Boltzmanngasse, Piotr Mankiewicz, Piotr Mankiewicz, Carsten Sch Utt
Abstract. \Almost exact " estimates for the Delone triangulation numbers are given. In particular lim n!1 del n 1 n
PARTIALLY INTEGRABLE ALMOST CR MANIFOLDS OF CR DIMENSION AND CODIMENSION TWO (2007)
The Erwin, Schrodinger International Boltzmanngasse, Andreas Cap, Gerd Schmalz, Gerd Schmalz
Abstract. We extend the results of [11] on embedded CR manifolds of CR dimension and codimension two to abstract partially integrable almost CR manifolds. We prove that points on such manifolds fall...
String Loop Corrections to Stable Non-BPS Branes (2007)
The Erwin, Schrodinger International Boltzmanngasse, N. D. Lambert, N. D. Lambert, I. Sachs, I. Sachs, ...
b a
The Erwin, Schrodinger International Boltzmanngasse, James B. Hartle, James B. Hartle, Donald Marolf, Donald Marolf
A class of decoherence schemes is described for implementing the principles of generalized quantum theory in reparametrization-invariant `hyperbolic ' models such as minisuperspace quantum...
The Erwin, Schrodinger International Boltzmanngasse, Boris Khesin, Boris Khesin, Alexei Rosly, Alexei Rosly
For complex projective manifolds we introduce polar homology groups, which are holomorphic analogues of the homology groups in topology. The polar k-chains are subvarieties of complex dimension k...
Unitary Transformations for Testing Bell Inequalities (2007)
The Erwin, Schrodinger International Boltzmanngasse, B. C. Sanders, J. Daboul, H. De Guise, S. D. Bartlett, ...
Unitary transformations for testing Bell inequalities
Cohomology and Topological Anomalies (2007)
The Erwin, Schrodinger International Boltzmanngasse, C. Ekstrand
The chiral anomaly can be considered as an object dened either on the space of gauge potentials or on the orbit space. We will discuss the relation between the two descriptions. We will also relate...
Ergodicity of cocycles. 1: General Theory (2007)
The Erwin, Schrodinger International Boltzmanngasse, Ergodicity Of, Cocycles General Theory, Vadim Kaimanovich, Vadim Kaimanovich, ...
Abstract. We prove several `automatic ' ergodicity results for cocycles on a discrete nonsingular ergodic equivalence relation on a probability space (X; S; ) with values in virtually nilpotent...
ON POLYNOMIAL AUTOMORPHISMS OF AFFINE SPACES (2007)
The Erwin, Schrodinger International Boltzmanngasse, Vladimir L. Popov, Vladimir L. Popov
Abstract. Some general results on algebraic group actions, with a focus on linearizability, are obtained. They are applied to proving that any faithful algebraic action of a connected reductive...
Supported by Federal Ministry of Science and Transport, Austria (2007)
The Erwin, Schrodinger International Boltzmanngasse, Christian Hainzl, Christian Hainzl, Robert Seiringer, Robert Seiringer
A discrete density matrix theory for atoms in strong magnetic elds
Hilbert C*{systems for Actions of the Circle Group (2007)
The Erwin, Schrodinger International Boltzmanngasse, H. Baumgaertel, H. Baumgaertel, Permanent Address, A. L. Carey, ...
Hilbert C*-systems for actions of the circle group
INVARIANT COCYCLES HAVE ABELIAN RANGES (2007)
The Erwin, Schrodinger International Boltzmanngasse, Gernot Greschonig, Gernot Greschonig, Klaus Schmidt, Klaus Schmidt
Abstract. Let R be a discrete nonsingular equivalence relation on a standard probability space (X;S; ), and let V be an ergodic strongly asymptotically central automorphism of R. We prove that every...
On Superpotentials for D-Branes in Gepner Models (2007)
The Erwin, Schrodinger International Boltzmanngasse, Ilka Brunner, Ilka Brunner, Volker Schomerus, Volker Schomerus
A large class of D-branes in Calabi-Yau spaces can be constructed at the Gepner points using the techniques of boundary conformal eld theory. In this note we develop methods that allow to compute...
INSTANTANEOUS BETHE{SALPETER EQUATION: UTMOST ANALYTIC APPROACH (2007)
The Erwin, Schrodinger International Boltzmanngasse, Franz F. Schoberl, Wolfgang Lucha, Wolfgang Lucha, Khin Maung Maung, ...
The Bethe{Salpeter formalism in the instantaneous approximation for the interaction kernel entering into the Bethe{Salpeter equation represents a reasonable framework for the description of bound...
The Erwin, Schrodinger International Boltzmanngasse, Shoji Yokura
Abstract. We introduce several reasonable bivariant theories of constructible functions and discuss the existence or non-existence of Grothendieck transformations to bivariant homology theories. We...
have an asymptotic expansion K (2007)
The Erwin, Schrodinger International Boltzmanngasse, Miroslav Engli S
, ; two positive functions on such that log ; log are plurisubharmonic, z
The Erwin, Schrodinger International Boltzmanngasse, Nevena Ilieva, Nevena Ilieva, Walter Thirring, Walter Thirring
math-ph/0010...
Schwinger Terms in Two{Dimensional Gravitation and Kallen's Method (2007)
The Erwin, Schrodinger International Boltzmanngasse, R. A. Bertlmann, R. A. Bertlmann, E. Kohlprath, E. Kohlprath
Schwinger terms in two-dimensional gravitation and Kallen's method
On the PCT{Theorem in the Theory of Local Observables (2007)
The Erwin, Schrodinger International Boltzmanngasse, H. J. Borchers, H. J. Borchers, J. Yngvason, J. Yngvason
We review the PCT-theorem and problems connected with its demonstration. We add a new proof of the PCT-theorem in the theory of local observables which is similar to that one of Jost in Wightman...
The Erwin, Schrodinger International Boltzmanngasse, Franz F. Schoberl, Wolfgang Lucha, Wolfgang Lucha, Khin Maung Maung, ...
A-1090 Wien, Austria The instantaneous Bethe{Salpeter equation, derived from the general Bethe{Salpeter formalism by assuming that the involved interaction kernel is instantaneous, represents the...
The Erwin, Schrodinger International Boltzmanngasse, N. Ilieva, N. Ilieva, W. Thirring, ...
hep-th/0010...
On one-parametric families of Backlund transformations (2007)
The Erwin, Schrodinger International Boltzmanngasse, Joseph Krasilshchik, Sergei Igonin, Sergei Igonin, Joseph Krasil
shchik Abstract. In the context of the cohomological deformation theory, innitesimal description of one-parametric families of Backlund transformations of special type including classical examples is...
Localization of Macroscopic Object Induced by the Factorization of Internal Adiabatic Motion (2007)
The Erwin, Schrodinger International Boltzmanngasse, X. F. Liu, D. L. Zhou, S. X. Yu, C. P. Sun, ...
To account for the phenomenon of quantum decoherence of a macroscopic object, such as the localization and disappearance of interference, we invoke the adiabatic quantum entanglement between its...
Atoms with Bosonic \Electrons" in Strong Magnetic Fields (2007)
The Erwin, Schrodinger International Boltzmanngasse, Bernhard Baumgartner, Bernhard Baumgartner, Robert Seiringer, Robert Seiringer
Atoms with bosonic \electrons " in strong magnetic elds
SOME RESULTS ON THE STRUCTURE OF QUANTUM FAMILY ALGEBRAS (2007)
The Erwin, Schrodinger International Boltzmanngasse, A. A. Kirillov, A. A. Kirillov
Abstract. We continue the study of family algebras introduced by the author. In this paper we describe completely the structure of quantum family algebras for two cases of representations with a...
LIFTING OF HOLOMORPHIC ACTIONS ON COMPLEX SUPERMANIFOLDS (2007)
The Erwin, Schrodinger International Boltzmanngasse, A. L. Onishchik, A. L. Onishchik
Abstract. We study the problem of lifting analytic actions of a Lie group G to a non-split complex analytic supermanifold (M;O) from its retract (M;O gr). In the case when G is compact (or complex...
Supported by Federal Ministry of Science and Transport, Austria (2007)
The Erwin, Schrodinger International Boltzmanngasse, R. A. Bertlmann, R. A. Bertlmann, E. Kohlprath, E. Kohlprath
Two-dimensional gravitational anomalies, Schwinger terms and dispersion relations
Bordered Complex Hessians (2007)
The Erwin, Schrodinger International Boltzmanngasse, John P. D'angelo, John P. D'angelo
polynomial Abstract: We record some basic facts about bordered complex Hessians and logarithmically plurisubharmonic functions. These enable us to prove that a nonnegative bihomogeneous polynomial is...
The Erwin, Schrodinger International Boltzmanngasse, Gabriel Lopes Cardoso, Gabriel Lopes Cardoso, Bernard De Wit, Bernard De Wit, ...
Preprint typeset in JHEP style.- PAPER VERSION SPIN-00/21
On the Ordering of Energy Levels in Homogeneous Magnetic Fields (2007)
The Erwin, Schrodinger International Boltzmanngasse, Bernhard Baumgartner, Bernhard Baumgartner, Robert Seiringer, Robert Seiringer
On the ordering of energy levels in homogeneous magnetic elds
Geometry And Dynaimics On The Free Solvable Groups (2007)
The Erwin, Schrodinger International Boltzmanngasse, A. M. Vershik, A. M. Vershik
In this paper we give a geometric realization of free solvable groups, and study its Poisson-Furstenberg boundaries, we also discuss the construction of normal forms in the solvable groups....
Extremal Discs and the Regularity of CR Mappings in Higher Codimension (2007)
The Erwin, Schrodinger International Boltzmanngasse, A. Tumanov, A. Tumanov
. We develop a local theory of extremal analytic discs attached to a strictly pseudoconvex manifold of higher codimension in complex space. We then apply the results to prove the regularity of CR...
Covariant Schwinger Terms (2007)
Adam Ekstrand Ykora, The Erwin, Schrodinger International Boltzmanngasse, C. Ekstrand, C. Adam, C. Adam, ...
There exist two versions of the covariant Schwinger term in the literature. They only dier by a sign. However, we shall show that this is an essential dierence. We shall carefully (taking all signs...
Quantum Corrections for (anti)-Evaporating Black Hole (2007)
Maja Buri And, The Erwin, Schrodinger International Boltzmanngasse, Anti){evaporating Black Hole
In this paper we analyse the quantum correction for Schwarzchild black hole in the Unruh state in the framework of spherically symmetric gravity (SSG) model. SSG is two-dimensional dilaton model...
Steven B. Bradlow James F. Glazebrook Franz W. Kamber (2007)
Vienna Preprint Esi, The Erwin, Schrodinger International Boltzmanngasse, Steven B. Bradlow, Steven B. Bradlow, James F. Glazebrook, ...
. The technique of dimensional reduction of an integrable system usually requires symmetry arising from a group action. In this paper we study a situation in which a dimensional reduction can be...
J.A. Vickers J.P. Wilson (2007)
Vienna Preprint Esi, The Erwin, Schrodinger International Boltzmanngasse, J. A. Vickers, J. A. Vickers, J. P. Wilson
. The coordinate invariant theory of generalised functions of Colombeau and Meril is reviewed and extended to enable the construction of multi-index generalised tensor functions whose transformation...
Liouville Bootstrap via Harmonic Analysis on a Noncompact Quantum Group (2007)
The Erwin, Schrodinger International Boltzmanngasse, B. Ponsot, B. Ponsot, J. Teschner, J. Teschner
. The purpose of this short note is to announce results that amount to a verification of the bootstrap for Liouville theory in the generic case under certain assumptions concerning existence and...
The Erwin, Schrodinger International Boltzmanngasse, Hebe A. Biagioni, Hebe A. Biagioni, Todor Gramchev, Todor Gramchev
We consider the Cauchy problem for multidimensional KuramotoSivashinsky type equations on IR n and on the torus TT n . The initial data could be singular, in particular, could belong to Sobolev...
Two--Term Dilogarithm Identities Related to Conformal Field Theory (2007)
Andrei Bytsko Vienna, The Erwin, Schrodinger International Boltzmanngasse, Andrei G. Bytsko, Andrei G. Bytsko
We study 2\Theta2 matrices such that the corresponding TBA equations yield dilogarithm identities L(x) + L(y) = c with c being an effective central charge for certain conformal models. The properties...
Lipschitz Image of a Measure--null Set Can Have a Null Complement (2007)
Lindenstrauss Matouskov'a Preiss, The Erwin, Schrodinger International Boltzmanngasse, J. Lindenstrauss, J. Lindenstrauss, ...
. We give two examples that in infinite dimensional Banach spaces the measure-null sets are not preserved by Lipschitz homeomorphisms. There exists a closed set D ae ` 2 which contains a translate of...
On B-independence of RR Charges (2007)
Alekseev Mironov Morozov, The Erwin, Schrodinger International Boltzmanngasse, A. Alekseev, A. Mironov, A. Morozov
Generalization of the recent Taylor-Polchinski argument is presented, which helps to explain quantization of RR charges in IIA-like theories in the presence of cohomologically trivial H-elds. 1...
A Differential Invariant Related to the First Eigenvalue of the Laplacian (2007)
The Erwin, Schrodinger International Boltzmanngasse, Leonid Friedlander Nikolai, Leonid Friedl, Nikolai Nadirashvili, Nikolai Nadirashvili, ...
this paper we prove two theorems.
On the Entropy Theory of Finitely Generated Nilpotent Group Actions (2007)
The Erwin, Sergey D. Sinelshchikov, Schrodinger International Boltzmanngasse, Valentin Ya. Golodets, Valentin Ya. Golodets, Sergey D. Sinel'shchikov, ...
Let G be a finitely generated nilpotent torsionfree group. The entropy theory for G- actions is investigated. The Pinsker algebra of such actions is described explicitly. The comlpetley positive...
For Some Generators, The Erwin, Schrodinger International Boltzmanngasse, Dan Voiculescu, Dan Voiculescu
: The modified free entropy dimension of certain n-tuples of self-adjoint operators, satisfying sequential commutation, is shown to be 1. In particular the von Neumann algebras of type II 1 of the...
A Unified Conformal Field Theory Description of Paired Quantum Hall States (2007)
Cappelli And Dipartimento, The Erwin, Schrodinger International Boltzmanngasse, L. S. Georgiev, L. S. Georgiev, I. T. Todorov, ...
The wave functions of the Haldane-Rezayi paired Hall state have been previously described by a non-unitary conformal field theory with central charge c = \Gamma2. Moreover, a relation with the c = 1...
The Erwin, Schrodinger International Boltzmanngasse, Peter Yuditskii, Peter Yuditskii
> (t) be a continuous nondecreasing real 2 \Theta 2 matrix--function of t 2 [0; 1], spf\Sigma 0 (1) \Gamma \Sigma 0 (0)g ! 1; and \Sigma 1 (t) be a real symmetric 2 \Theta 2 matrix--functions,...
From Euclidean Field Theory to Quantum Field Theory (2007)
The Erwin, Schrodinger International Boltzmanngasse, Dirk Schlingemann, Dirk Schlingemann
In order to construct examples for interacting quantum field theory models, the methods of euclidean field theory have turned out to be a powerful tools since they make use of the techniques of...
The Geometry of Coherent States (2007)
The Erwin, Schrodinger International Boltzmanngasse, Timothy R. Field, Timothy R. Field, Lane P. Hughston, Lane P. Hughston
We examine the geometry of the state space of a relativistic quantum field. The mathematical tools used involve complex algebraic geometry and Hilbert space theory. We consider the Kahler geometry of...
Existence of Solutions of a Kinetic Equation Modelling Cometary Flows (2007)
The Erwin, José L. López, Frédéric Poupaud, Schrodinger International Boltzmanngasse, Pierre Degond, Pierre Degond, ...
A global existence theorem is presented for a kinetic problem of the form @ t f + v \Delta r x f = Q(f) ; f(t = 0) = f 0 ; where Q(f) is a simplified model wave-particle collision operator extracted...
Coverings and Integrability of the Gauss-Mainardi-Codazzi Equations (2007)
Joseph Krasil'shchik, The Erwin, Schrodinger International Boltzmanngasse, Michal Marvan, Joseph Krasil
. Using covering theory approach (zero-curvature representations with the gauge group SL 2 ), we insert the spectral parameter into the Gauss-- Mainardi--Codazzi equations in Tchebycheff and geodesic...
On the Renormalization Group in Curved Spacetime (2007)
The Erwin, Schrodinger International Boltzmanngasse, Stefan Hollands, Stefan Hollands, Robert M. Wald, Robert M. Wald
We dene the renormalization group ow for a renormalizable interacting quantum eld in curved spacetime via its behavior under scaling of the spacetime metric, g! 2 g. We consider explicitly the case...
Supported by the Austrian Federal Ministry of Education, Science and Culture (2007)
The Erwin, Schrodinger International Boltzmanngasse, Tini Garske, Tini Garske, Uwe Grimm, Uwe Grimm
A maximum principle for the mutation{selection equilibrium of nucleotide sequences
INERTIA ORBIFOLDS, CONFIGURATION SPACES AND THE GHOST LOOP SPACE. (2007)
The Erwin, Schrodinger International Boltzmanngasse, Ernesto Lupercio, Ernesto Lupercio, Bernardo Uribe, Bernardo Uribe
Abstract. In this paper we dene and study the ghost loop orbifold LsX of an orbifold X consisting of those loops that remain constant in the coarse moduli space of X. We construct a conguration space...
FALCONER CONJECTURE IN THE PLANE FOR RANDOM METRICS (2007)
The Erwin, Schrodinger International Boltzmanngasse, S. Hofmann, S. Hofmann, A. Iosevich, A. Iosevich
Abstract. The Falconer conjecture says that if a compact planar set has Hausdor dimension> 1, then the Euclidean distance set (E) = fjx yj: x; y 2 Eg has positive Lebesgue measure. In this paper...
Supported by the Austrian Federal Ministry of Education, Science and Culture (2007)
The Erwin, Schrodinger International Boltzmanngasse, Matthias Birkner, Matthias Birkner, Anton Wakolbinger, Anton Wakolbinger
Comparison results and steady states for the Fujita equation with fractional Laplacian
The Erwin, Schrodinger International Boltzmanngasse, Hanno Sahlmann, Hanno Sahlmann, Thomas Thiemann, Thomas Thiemann
yz
The Erwin, Schrodinger International Boltzmanngasse, Pranaw Rungta, M. Hillery, G. J. Milburn, Carlton M. Caves, ...
Universal state inversion and concurrence in arbitrary dimensions
The Erwin, Schrodinger International Boltzmanngasse, D. Bertacchi, D. Bertacchi, F. Zucca, F. Zucca
asymptotic estimates of transition probabilities on combs
Two{Dimensional Conformal Field Theory and Beyond. Lessons from a Continuing Fashion (2007)
The Erwin, Schrodinger International Boltzmanngasse, I. T. Todorov, I. T. Todorov
Two-dimensional conformal eld theory and beyond. Lessons from a continuing fashion
INVARIANT FIELDS OF SYMPLECTIC AND ORTHOGONAL GROUPS (2007)
The Erwin, Schrodinger International Boltzmanngasse, David J. Saltman, David J. Saltman
Abstract The projective orthogonal and symplectic groups POn (F) and PSpn (F) have a natural action on the F vector space V 0
The Erwin, Schrodinger International Boltzmanngasse
Some remarks on consequences of Shor's factoring algorithm
Orthomodular Lattices and a Quantum Algebra By (2007)
The Erwin, Schrodinger International Boltzmanngasse, Norman D. Megill, Norman D. Megill, Mladen Pavicic
y1
The Erwin, Schrodinger International Boltzmanngasse, Miroslav Engli S
Abstract. Extending the well-known results for smoothly bounded case, we show that subelliptic and pseudolocal estimates hold in the neighbourhood of a smooth strictly pseudoconvex (or nite type)...
Linear Time Approximation of 3D Convex Polytopes (2007)
The Erwin, Schrodinger International Boltzmanngasse, Mario A. Lopez, Mario A. Lopez, Shlomo Reisner, Shlomo Reisner
We develop algorithms for the approximation of a convex polytope in R 3 by polytopes that are either contained in it or containing it, and that have fewer vertices or facets, respectively. The...
THE RIEMANNIAN GEOMETRY OF ORBIT SPACES. THE METRIC, GEODESICS, AND INTEGRABLE SYSTEMS (2007)
The Erwin, Schrodinger International Boltzmanngasse, Dmitri Alekseevsky, Dmitri Alekseevsky, Andreas Kriegl, Andreas Kriegl, ...
Abstract. We investigate the rudiments of Riemannian geometry on orbit spaces M=G for isometric proper actions of Lie groups on Riemannian manifolds. Minimal geodesic arcs are length minimising...
The Erwin, Schrodinger International Boltzmanngasse, C. Teleman, C. Teleman, C. Woodward, C. Woodward
Abstract. We prove a condition for the existence of at bundles on the punctured two-sphere with prescribed holonomies around the punctures, involving Gromov-Witten invariants of generalized ag...
EXTENSIONS OF SUPER LIE ALGEBRAS (2007)
The Erwin, Schrodinger International Boltzmanngasse, Dmitri Alekseevsky, Dmitri Alekseevsky, Peter W. Michor, Peter W. Michor
Abstract. We study (non-abelian) extensions of a given super Lie algebra, identify a cohomological obstruction to the existence, and interpret it in terms of the super analogon of the...
The mean value property for harmonic functions on graphs and trees (2007)
The Erwin, Schrodinger International Boltzmanngasse, Fabio Zucca, Fabio Zucca
Abstract. Following the euclidean example, we introduce the strong and weak mean value property for nite variation measures on graphs. We completely characterize nite variation measures with bounded...
ENERGY BOUNDS FOR THE SPINLESS SALPETER EQUATION (2007)
The Erwin, Schrodinger International Boltzmanngasse, Spinless Salpeter Equation, Franz F. Schoberl, Richard L. Hall, Richard L. Hall, ...
We study the spectrum of the Salpeter Hamiltonian H = p m 2 + p 2 +V (r), where V (r) is an attractive central potential in three dimensions. If V (r) is a convex transformation of the Coulomb...
CORRESPONDENCE SPACES AND TWISTOR SPACES FOR PARABOLIC GEOMETRIES (2007)
The Erwin, Schrodinger International Boltzmanngasse, Andreas Cap
Abstract. For a given semi-simple Lie group G with parabolic subgroups Q P G, we associate to any parabolic geometry of type (G; P) on a smooth manifold N the correspondence space CN, which is the...
The Erwin, Schrodinger International Boltzmanngasse, David J. Saltman, David J. Saltman, Jean Pierre Tignol
Belgium Abstract The centers of the generic central simple algebras with involution are interesting objects in the theory of central simple algebras. These elds also arise as invariant elds for...
Supported by Federal Ministry of Science and Transport, Austria (2007)
The Erwin, Schrodinger International Boltzmanngasse, Peter B. Gilkey, Peter B. Gilkey, Klaus Kirsten, Klaus Kirsten, ...
Heat trace asymptotics with transmittal boundary conditions and quantum brane-world scenario
Random walks on Diestel-Leader graphs (2007)
The Erwin, Schrodinger International Boltzmanngasse, D. Bertacchi, D. Bertacchi
Abstract. We investigate various features of a quite new family of graphs, introduced as a possible example of vertextransitive graph not roughly isometric with a Cayley graph of some nitely...
Causal relations via linking in twistor space (2007)
The Erwin, Schrodinger International Boltzmanngasse, R. J. Low, T R Field, Malvern Wr Ps, R J Low
We investigate the relationship between two different notions of linking, one homological and one holomorphic, in a twistorial context. The two notions turn out to be surprisingly closely related....
The Erwin, Schrodinger International Boltzmanngasse, Christian Hainzl, Christian Hainzl, Robert Seiringer, Robert Seiringer
Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics
), we consider vector periodic DO A admitting a factorization (2007)
The Erwin, Schrodinger International Boltzmanngasse, Michael Birman, Michael Birman, Tatyana Suslina, Tatyana Suslina
Abstract. In L 2 (R d
On the Representations of Lie Groups and Lie Algebras in Rigged Hilbert Spaces (2007)
The Erwin, Schrodinger International Boltzmanngasse, Sujeewa Wickramasekara, Sujeewa Wickramasekara
We discuss some basic properties of Lie group and Lie algebra representations in rigged Hilbert spaces. In particular, we will establish a condition that determines if from a given Lie algebra...
REPRESENTATIONS OF THE q-DEFORMED ALGEBRA U (2007)
The Erwin, Schrodinger International Boltzmanngasse, A. U. Klimyk, A. U. Klimyk
We study the nonstandard q-deformation U 0 q (so 4) of the universal enveloping algebra U(so 4) obtained by deforming the dening relations for skew-symmetric generators of U(so 4). This algebra is...
Symmetry Representations in the Rigged Hilbert Space Formulation of Quantum Mechanics (2007)
The Erwin, Schrodinger International Boltzmanngasse, Sujeewa Wickramasekara, Sujeewa Wickramasekara
We discuss some basic properties of Lie group representations in rigged Hilbert spaces. In particular, we show that a dierentiable representation in a rigged Hilbert space may be obtained as the...
Inverse Limit of M--cocycles and Applications (2007)
The Erwin, Schrodinger International Boltzmanngasse, Jan Kwiatkowski
Inverse limit of M-cocycles and applications. Jan Kwiatkowski For any m; 2 m! 1 we costruct an ergodic dynamical system having spectral multiplicity m and infinite rank. Given r? 1; 0! b! 1 such that...
AN ALGEBRAIC INVARIANT FOR SUBSTITUTION TILING SYSTEMS by (2007)
The Erwin, Schrodinger International Boltzmanngasse, Charles Radin, Charles Radin, Lorenzo Sadun, Lorenzo Sadun
We consider tilings of Euclidean spaces by polygons or polyhedra, in particular, tilings made by a substitution process, such as the Penrose tilings of the plane. We define an isomorphism invariant...
STATISTICAL PROPERTIES OF DYNAMICAL SYSTEMS WITH SOME HYPERBOLICITY (2007)
The Erwin, Schrodinger International Boltzmanngasse, Lai-sang Young
This paper is about the ergodic theory of attractors and conservative dynamical systems with hyperbolic properties on large parts (though not necessarily all) of their phase spaces. The main results...
The Relation between KMS-States for Different Temperatures (2007)
The Erwin, Schrodinger International Boltzmanngasse, Christian D. Jakel, Christian D. J
Abstract. Some years ago Buchholz and Junglas [BJu 89] established the existence of thermal equilibrium states (KMS-states) for a large class of quantum field theories. The KMS-states were...
The Erwin, Schrodinger International Boltzmanngasse, D. V. Alekseevsky, D. V. Alekseevsky, S. Marchiafava, ...
Abstract. On a quaternion-Kahler manifold M the Hamiltonian of a Killing field is a 2-form [GL], [S1] and we show it is an eigenform of the Laplacian corresponding to the minimal eigenvalue. This...
On Hermitian Surfaces with J-Invariant Ricci (2007)
The Erwin, Schrodinger International Boltzmanngasse, Oleg Muskarov
We prove that a compact Hermitian surface with J-invariant Ricci tensor is Kahler provided that the difference of its scalar and conformal scalar curvature is constant. In particular, there are no...
THE HEAT CONTENT ASYMPTOTICS OF A TIME DEPENDENT PROCESS (2007)
The Erwin, Schrodinger International Boltzmanngasse, P. Gilkey, P. Gilkey
Abstract. Let M be a compact manifold with smooth boundary. We study the heat content asymptotics on M defined by a time dependent heat source and time dependent boundary conditions. We adopt the...
Einstein{Weyl geometry, the dKP equation and twistor theory (2007)
The Erwin, Schrodinger International Boltzmanngasse, Paul Tod, Maciej Dunajski, Maciej Dunajski, Lionel J. Mason, ...
It is shown that Einstein{Weyl (EW) equations in 2+1 dimensions contain the dispersionless Kadomtsev{Petviashvili (dKP) equation as a special case: If an EW structure admits a constant weighted...
The Erwin, Schrodinger International Boltzmanngasse, Dirk Schlingemann, Dirk Schlingemann
Several two-dimensional quantum field theory models have more than one vacuum state. Familiar examples are the Sine-Gordon and the OE 4 2-model. It is known that in these models there are also...
Currents in Metric Spaces (2007)
The Erwin, Schrodinger International Boltzmanngasse, Luigi Ambrosio, Luigi Ambrosio, Scuola Normale Superiore, Piazza Cavalieri, ...
Currents in metric spaces
Global Properties of Vacuum States in de Sitter Space (2007)
The Erwin, Schrodinger International Boltzmanngasse, H. J. Borchers, H. J. Borchers, D. Buchholz, D. Buchholz
Abstract: Starting from the assumption that vacuum states in de Sitter space look for any geodesic observer like equilibrium states with some a priori arbitrary temperature, an analysis of their...
ON THE STRUCTURE OF WEIGHT MODULES (2007)
The Erwin, Schrodinger International Boltzmanngasse, Ivan Dimitrov, Ivan Dimitrov, Olivier Mathieu, Olivier Mathieu, ...
Abstract. Given any simple Lie superalgebra g, we investigate the structure of an arbitrary simple weight g-module. We introduce two invariants of simple weight modules: the shadow and the small Weyl...
Semi-classical Limit of Random Walks II 1 (2007)
The Erwin, Schrodinger International Boltzmanngasse, Ursula Porod, Ursula Porod, Steve Zelditch, Steve Zelditch
Version 1 Let (G; ) be a symmetric random walk on a compact Lie group G. We will call (G; ) a Lagrangean random walk if the step distribution, a probability measure on G, is also a Lagrangean...
FITTING IDEALS FOR FINITELY PRESENTED ALGEBRAIC DYNAMICAL SYSTEMS (2007)
The Erwin, Schrodinger International Boltzmanngasse, M. Einsiedler, M. Einsiedler, T. Ward, T. Ward
Abstract. We consider a class of algebraic dynamical systems introduced by Kitchens and Schmidt. Under a weak finiteness condition-- the Descending Chain Condition-- the dual modules have finite...
The Erwin, Schrodinger International Boltzmanngasse, Friedrich Haslinger, Friedrich Haslinger, Let A
Abstract. In this paper we show that the canonical solution operator to @ restricted to holomorphic (0; 1)- forms can be expressed by an integral operator using the Bergman kernel. For the unit disk...
NONSTANDARD ANALYSIS IN POINT-SET TOPOLOGY (2007)
The Erwin, Schrodinger International Boltzmanngasse, Sergio Salbany, Sergio Salbany, Todor Todorov, Todor Todorov
We present Nonstandard Analysis by three axioms: the Extension, Transfer and Saturation Principles in the framework of the superstructure of a given infinite set. We also present several applications...
PARABOLIC GEOMETRIES AND CANONICAL CARTAN CONNECTIONS (2007)
The Erwin, Schrodinger International Boltzmanngasse, Andreas Cap, Hermann Schichl, Hermann Schichl
Abstract. Let G be a (real or complex) semisimple Lie group, whose Lie algebra g is endowed with a so called jkj--grading, i.e. a grading of the form g = g \Gammak \Phi \Delta \Delta \Delta \Phi g k,...
A Multilinear Generalisation of the Cauchy-Schwarz Inequality (2003)
The Erwin, Schrodinger International Boltzmanngasse, A Multilinear Generalisation, Anthony Carbery, Anthony Carbery
Introduction Let X 1 ; ::::; Xn be measure spaces, and K : X 1 ::::: Xn ! Ra non-negative measurable function. De ne, for 1 j n; A j (s j ) = K(x 1 ; x 2 ; :::; x j 1 ; s j ; x j+1 ; :::; xn )dx 1...
A Convergence Theorem for the Standard Luria-Delbrück Distribution (2003)
M. Möhle, The Erwin, Schrodinger International Boltzmanngasse, M. M Ohle
A new scaling for the standard discrete Luria-Delbruck distribution is provided which leads to a weak convergence result as the parameter of the distribution tends to in nity. We show that the...
Unequal Crossover Dynamics in Discrete and Continuous Time (2003)
The Erwin, Schrodinger International Boltzmanngasse, Oliver Redner, Oliver Redner, Michael Baake, Michael Baake
We analyze a class of models for unequal crossover (UC) of sequences containing sections with repeated units that may differ in length. In these, the probability of an `imperfect' alignment, in...
The Two-Locus Model of Gaussian Stabilizing Selection (2003)
The Erwin, Reinhard Bürger, Schrodinger International Boltzmanngasse, Martin Willensdorfer, Martin Willensdorfer
We study the equilibrium structure of a well-known two-locus model in which two diallelic loci contribute additively to a quantitative trait that is under Gaussian stabilizing selection. The...
The Erwin, Schrodinger International Boltzmanngasse, Sorin Dragomir, Sorin Dragomir, Seiki Nishikawa, Seiki Nishikawa
We study foliations on CR manifolds and show the following . 1) For a strictly pseudoconvex CR manifold M , the relationship between a foliation F on M and its pullback F on the total space C(M) of...
Non-Linear Grassmannians as Coadjoint Orbits (2003)
The Erwin, Schrodinger International Boltzmanngasse, Stefan Haller, Stefan Haller, Cornelia Vizman, Cornelia Vizman, ...
For a given manifold M we consider the non-linear Grassmann manifold Grn (M) of n{dimensional submanifolds in M . A closed (n+2){form on M gives rise to a closed 2{form on Grn (M ). If the original...
Heat Kernels and Zeta-Function Regularization for the Mass of the Susy Kink (2002)
The Erwin, Schrodinger International Boltzmanngasse, Michael Bordag, Michael Bordag, Alfred Schar Goldhaber, ...
We apply zeta-function regularization to the kink and susy kink and compute its quantum mass. We fix ambiguities by the renormalization condition that the quantum mass vanishes as one lets the mass...
Growth of Self-Similar Graphs (2002)
B. Krön, The Erwin, Schrodinger International Boltzmanngasse
Geometric properties of self-similar graphs concerning their volume growth and distances in certain nite subgraphs are discussed. The length scaling factor and the volume scaling factor can be de ned...
GERBES, (TWISTED) K-THEORY, AND THE SUPERSYMMETRIC WZW MODEL (2002)
The Erwin Schr, The Erwin, Schrodinger International Boltzmanngasse, Jouko Mickelsson, Jouko Mickelsson
The aim of this talk is to explain how symmetry breaking in a quantum eld theory problem leads to a study of projective bundles, DixmierDouady classes, and associated gerbes. A gerbe manifests itself...
Deligne Cohomology for Orbifolds, Discrete Torsion and B-Fields (2002)
The Erwin, Schrodinger International Boltzmanngasse, Deligne Cohomology, For Orbifolds, Ernesto Lupercio, Ernesto Lupercio, ...
In this paper we introduce the concept of Deligne cohomology of an orbifold. We prove that the third Deligne cohomology group H D ) of a smooth Étale groupoid classify gerbes with connection over...
The Mathematical Structure of the Second Law of Thermodynamics (2002)
The Erwin, Schrodinger International Boltzmanngasse, Elliott H. Lieb, Elliott H. Lieb, Jakob Yngvason, Jakob Yngvason
The essence of the second law of classical thermodynamics is the `entropy principle' which asserts the existence of an additive and extensive entropy function, S, that is dened for all...
Remarks on Time-Energy Uncertainty Relations (2002)
The Erwin, Schrodinger International Boltzmanngasse, Romeo Brunetti, Romeo Brunetti, Klaus Fredenhagen, Klaus Fredenhagen
Using a recent construction of observables characterizing the time of occurence of an eect in quantum theory, we present a rigorous derivation of the standard time-energy uncertainty relation. In...
Robustness of the Quintessence Scenario in Particle Cosmologies (2002)
The Erwin, Schrodinger International Boltzmanngasse, Greg Huey, Greg Huey, Reza Tavakol, Reza Tavakol
We study the robustness of the quintessence tracking scenario in the context of more general cosmological models that derive from high-energy physics. We consider the effects of inclusion of multiple...
Analyticity of the Density of Electronic Wavefunctions (2002)
The Erwin, T. Hoffmann-Ostenhof, Schrodinger International Boltzmanngasse, S. Fournais
We prove that the electronic densities of atomic and molecular eigenfunctions are real analytic in R away from the nuclei.
Mathematical Analysis of the Photoelectric Effect (2001)
The Erwin Schr, The Erwin, Schrodinger International Boltzmanngasse, The Photoelectric Eect, Volker Bach, Volker Bach, ...
We study the photoelectric effect on the example of a simplified model of an atom with a single bound state, coupled to the quantized electromagnetic field. For this model, we show that...
Spin Foam Models for Quantum Gravity (2001)
The Erwin, Schrodinger International Boltzmanngasse, Alejandro Perez, Alejandro Perez, Erwin Schroedinger International
In this article we review the present status of the spin foam formulation of nonperturbative (background independent) quantum gravity. The article is divided in two parts. In the first part we...
The Erwin, Schrodinger International Boltzmanngasse, G. Nenciu, G. Nenciu
Singular perturbation theory for Quantum Mechanics is considered in a framework generalising the spectral concentration theory. Under very general conditions, asymptotic estimations on the...
Tractor Bundles for Irreducible Parabolic Geometries (2000)
The Erwin, Schrodinger International Boltzmanngasse, Andreas Cap, A. Rod Gover, A. Rod Gover
. | We use the general results on tractor calculi for parabolic geometries obtained in [3] to give a simple and eective characterisation of arbitrary normal tractor bundles on manifolds equipped with...
Electron Wavefunctions and Densities for Atoms (2000)
The Erwin, Schrodinger International Boltzmanngasse, Thomas Hoffmann-Ostenhof, Thomas Hoffmann-ostenhof, Thomas Østergaard Sørensen
. With a special `Ansatz' we analyse the regularity properties of atomic electron wavefunctions and electron densities. In particular we prove an a priori estimate, sup y2B(x;R) jr (y)j C(R) sup...
On Jordan Angles and Triangle Inequality in Grassmannian (2000)
The Erwin, Schrodinger International Boltzmanngasse, In Grassmannian, Yurii A. Neretin, Yurii A. Neretin, In R
52> ; f j ?. Denote by 1 ? : : : ? p the singular values 3 of the matrix . Obviously, the numbers j = j [L; M ] don't depend on choice of the bases e 1 ; : : : ; e p 2 L and f 1 ; : : : ; f p...
Field Theory on the q-Deformed Fuzzy Sphere I (2000)
The Erwin, Schrodinger International Boltzmanngasse, Lpte Orsay, H. Grosse, H. Grosse, J. Madore, ...
We study the q{deformed fuzzy sphere, which is related to D-branes on SU(2) WZW models, for both real q and q a root of unity. We construct for both cases a dierential calculus which is compatible...
On the Maximal Ionization of Atoms in Strong Magnetic Fields (2000)
The Erwin, Schrodinger International Boltzmanngasse, Robert Seiringer, Robert Seiringer
We give upper bounds for the number of spin 1 2 particles that can be bound to a nucleus of charge Z in the presence of a magnetic eld B, including the spin-eld coupling. We use Lieb's strategy,...
Deformation Theory of Infinity Algebras (2000)
The Erwin, Schrodinger International Boltzmanngasse, Alice Fialowski, Alice Fialowski, Michael Penkava, Michael Penkava
This work explores the deformation theory of algebraic structures in a very general setting. These structures include commutative, associative algebras, Lie algebras, and the innity versions of these...
Approximation Entropies in Crossed Products With an Application to Free Shifts (2000)
The Erwin, Schrodinger International Boltzmanngasse, Nathanial P. Brown, Nathanial P. Brown, Marie Choda, Marie Choda
It is shown that for two dynamical approximation entropies (one C and one W ) the implementing inner automorphism in a crossed product Ao Zhas the same entropy value as the automorphism . Using the...
An N=2 gauge theory and its supergravity dual (2000)
The Erwin, Schrodinger International Boltzmanngasse, A. Brandhuber, A. Brandhuber, K. Sfetsos, K. Sfetsos
We study ows on the scalar manifold of N = 8 gauged supergravity in ve dimensions which are dual to certain mass deformations of N = 4 super Yang{Mills theory. In particular, we consider a...
Multi-Dimensional Symbolic Dynamical Systems (2000)
The Erwin, Schrodinger International Boltzmanngasse, Tiling Systems, Symbolic Representation, Klaus Schmidt, Klaus Schmidt
. The purpose of this note is to point out some of the phenomena which arise in the transition from classical shifts of nite type X A Z to multi-dimensional shifts of nite type X A Z d , d 2, where A...
Delta and Singular Delta Locus for One Dimensional Systems of Conservation Laws (2000)
The Erwin, Schrodinger International Boltzmanngasse, M. Nedeljkov, Marko Nedeljkov
. A condition for existence of singular and delta shock waves for systems of conservation laws is given in the paper. The systems considered here have fluxes which are linear in one of the dependent...
The Nodal Surface Of The Second Eigenfunction Of The Laplacian In R^D Can Be Closed (2000)
The Erwin, Schrodinger International Boltzmanngasse, Søren Fournais, Sren Fournais
this paper is:
On Renormalization Group in Abstract QFT (2000)
The Erwin, Schrodinger International Boltzmanngasse, A. Mironov, A. Morozov
QFT A. Mironov A. Morozov Vienna, Preprint ESI 893 (2000) June 8, 2000 Supported by Federal Ministry of Science and Transport, Austria Available via anonymous ftp from FTP.ESI.AC.AT or via WWW, URL:...
Bivariant Chern-Schwartz-MacPherson Classes with Values in Chow Groups (2000)
The Erwin, Schrodinger International Boltzmanngasse, Shoji Yokura, Lars Ernström
This paper is based on the rst named author's earlier preprint [E2]. The organization of the paper is as follows. In x2.1 we recall the axioms of a bivariant theory and a Grothendieck...
Non-Relativistic Non-Commutative Field Theory and UV/IR Mixing (2000)
The Erwin, Schrodinger International Boltzmanngasse, E. Lopez, Joaquim Gomis, Joaquim Gomis, Karl Landsteiner, ...
We study a non-commutative non-relativistic scalar eld theory in 2 + 1 dimensions. The theory shows the UV/IR mixing typical of QFT on noncommutative spaces. The one-loop correction to the two-point...
When does a Polynomial Ideal Contain a Positive Polynomial? (2000)
The Erwin, Schrodinger International Boltzmanngasse, Manfred Einsiedler, Manfred Einsiedler, Selim Tuncel, Selim Tuncel
. We use Grobner bases and a theorem of Handelman to show that an ideal I of R[x 1 ; : : : ; x k ] contains a polynomial with positive coecients if and only if no initial ideal in v (I), v 2 R k ,...
A Note on D-Branes in Group Manifolds: Flux Quantisation and D0-Charge (2000)
The Erwin, Schrodinger International Boltzmanngasse, Flux Quantisation, Sonia Stanciu, Sonia Stanciu
. We show that a D-brane in a group manifold given by a (twisted) conjugacy class is characterised by a gauge invariant two-form eld determined in terms of the matrix of gluing conditions. Using a...
The Erwin, Schrodinger International Boltzmanngasse, David Levermore, Ingenuin Gasser, Peter A. Markowich, Peter A. Markowich, ...
The classical time-dependent drift-diusion model for semiconductors is considered for small scaled Debye length (which is a singular perturbation parameter multiplying the Laplace operator in the...
Fields of Fractions of Quantum Solvable Algebras (2000)
The Erwin, Schrodinger International Boltzmanngasse, A. Panov
. We introduce the notion of pure Q-solvable algebra. The quantum matrices, quantum Weyl algebra, U q (n) , U q (sl 2 ) are the examples. It is proved that the skew eld of fractions of a pure...
Solitonic Sectors, alpha-Induction and Symmetry Breaking Boundaries (2000)
Jürgen Fuchs, The Erwin, Schrodinger International Boltzmanngasse, Solitonic Sectors, Christoph Schweigert, Christoph Schweigert, ...
We develop a systematic approach to boundary conditions that break bulk symmetries in a general way such that left and right movers are not necessarily connected by an automorphism. In the context of...
Local Quantum Constraints (2000)
The Erwin, Schrodinger International Boltzmanngasse, Hendrik Grundling, Hendrik Grundling, Fernando Lledó
We analyze the situation of a local quantum field theory with constraints which are also local. In particular we find "weak" Haag-Kastler axioms which will ensure that the final constrained...
Conformal Sigma Models for a Class of T p,q Spaces (2000)
The Erwin, Schrodinger International Boltzmanngasse, A. A. Tseytlin, A. A. Tseytlin
We consider a 2-d conformal theory based on GG 0 H coset sigma model introduced by Guadagnini, Martellini and Mintchev. It is shown that in the case of SU(2)SU(2) U(1) the metric of the corresponding...
Particle Physics and QFT at the Turn of the Century: Old principles with new concepts (2000)
The Erwin, Schrodinger International Boltzmanngasse, Bert Schroer, Bert Schroer
The present state of QFT is analysed from a new viewpoint whose mathematical basis is the modular theory of von Neumann algebras. Its physical consequences suggest new ways of dealing with...
Expansive Subdynamics for Algebraic ...-Actions (2000)
The Erwin, Schrodinger International Boltzmanngasse, Manfred Einsiedler, Douglas Lind, Richard Miles, Richard Miles, ...
. A general framework for investigating topological actions of Z d on compact metric spaces was proposed by Boyle and Lind in terms of expansive behavior along lower dimensional subspaces of R d ....
Asymmetric Orientifolds, Brane Supersymmetry Breaking and Non-BPS Branes (2000)
The Erwin, Schrodinger International Boltzmanngasse, Brane Supersymmetry Breaking, Ralph Blumenhagen, Carlo Angelantonj, Carlo Angelantonj, ...
A new class of six-dimensional asymmetric orientifolds is considered where the orientifold operation is combined with T-duality. The models are supersymmetric in the bulk, but the cancellation of the...
Hidden Symmetries of the Open N=2 String (2000)
The Erwin, Schrodinger International Boltzmanngasse, Olaf Lechtenfeld, Tatiana A. Ivanova, Tatiana A. Ivanova
It is known for ten years that self-dual Yang-Mills theory is the eective eld theory of the open N=2 string in 2+2 dimensional spacetime. We uncover an innite set of abelian rigid string symmetries,...
On the spectrum of Cartesian powers for the classical automorphisms (2000)
The Erwin, Schrodinger International Boltzmanngasse, Oleg Ageev, Oleg N. Ageev
In this article the following results are proved: The set of all essential spectral multiplicities of T (n) = T \Theta \Delta \Delta \Delta \Theta T (n times) is fn; n(n \Gamma 1); : : : ; n!g on...
Noncommutative gauge theory for Poisson manifolds (2000)
Branislav Jurco, Peter Schupp, The Erwin, Schrodinger International Boltzmanngasse, Julius Wess, Julius Wess, ...
A noncommutative gauge theory is associated to every Abelian gauge theory on a Poisson manifold. The semi-classical and full quantum version of the map from the ordinary gauge theory to the...
Operator Product Expansion of the Lowest Weight CPOs in N=4 SYM 4 at Strong Coupling (2000)
The Erwin, Schrodinger International Boltzmanngasse, G. Arutyunov, S. Frolov, A. C. Petkou, Gleb Arutyunov, ...
We present a detailed analysis of the 4-point functions of the lowest weight chiral primary operators O I tr (i j) in N = 4 SYM 4 at strong coupling and show that their structure is compatible with...
τ-Function for Analytic Curves (2000)
The Erwin, Schrodinger International Boltzmanngasse, M. Mineev-Weinstein, I.K. Kostov, I. Krichever, P. B. Wiegmann, ...
We review the concept of -function for simple analytic curves. The -function gives a formal solution to the 2D inverse potential problem and appears as the -function of the integrable hierarchy which...
Random Walks on Symmetric Spaces and Inequalities for Matrix Spectra (2000)
The Erwin, Schrodinger International Boltzmanngasse, Alexander A. Klyachko, Alexander A. Klyachko
. Using harmonic analysis on symmetric spaces we reduce the singular spectral problem for products of matrices to the recently solved spectral problem for sums of Hermitian matrices. This proves...
How To Quantize Antibracket (2000)
The Erwin, Schrodinger International Boltzmanngasse, Irina Shchepochkina, Dimitry Leites, Dimitry Leites
. The uniqueness of deformations of Poisson Lie algebra po(2n) was a folklore since long ago. Actually it is wrong, as stated, because the answer depends on the class of functions (for polynomials...
Group-Theoretical Structure of the Entangled States of N Identical Particles (2000)
The Erwin, Schrodinger International Boltzmanngasse, Suranjana Rai, Suranjana Rai, Jagdish Rai, Jagdish Rai
We provide a group-theoretical classication of the entangled states of N identical particles. The connection between quantum entanglement and the exchange symmetry of the states of N identical...
The Canonical Solution Operator to ... Restricted to Radial Symmetric Bergman Spaces (2000)
The Erwin, Schrodinger International Boltzmanngasse, F. Haslinger, Friedrich Haslinger
this paper we consider Bergman spaces A
The Erwin, Schrodinger International Boltzmanngasse, Michael Goldstein, Michael Goldstein, Wilhelm Schlag, Wilhelm Schlag
. In this paper we consider various regularity results for discrete quasiperiodic Schrodinger equations \Gamma/ n+1 \Gamma /n\Gamma1 + V (` + n!)/n = E/n with analytic potential V . We prove that on...
On Second Quantization of Quantum Groups (2000)
The Erwin, Karl-Georg Schlesinger, Schrodinger International Boltzmanngasse, Harald Grosse, Harald Grosse
We construct a deformation of the function algebra on the quantum group SL q (2) into a trialgebra in the sense of Crane and Frenkel. We show that this naturally acts on the trialgebraic deformation...
Resonant Decay of Parity Odd Bubbles in Hot Hadronic Matter (2000)
The Erwin, Schrodinger International Boltzmanngasse, D. Ahrensmeier, D. Ahrensmeier, R. Baier, ...
We investigate the decay of metastable states with broken CP-symmetry which have recently been proposed by Kharzeev, Pisarski and Tytgat to form in hot hadronic matter. We consider the eciency of the...
Renormalizability of the open string sigma model and emergence of D-branes (2000)
The Erwin, Schrodinger International Boltzmanngasse, W. Kummer, W. Kummer, D. V. Vassilevich, D. V. Vassilevich
Rederiving the one-loop divergences for the most general coupling of the open string sigma model by the heat kernel technique, we distinguish the classical background field from the mean field of the...
Thermal Correlators of Anyons in Two Dimensions (2000)
The Erwin, Schrodinger International Boltzmanngasse, N. Ilieva, N. Ilieva, H. Narnhofer, H. Narnhofer, ...
The anyon elds have trivial -commutator for not integer. For integer the commutators become temperature-dependent operator valued distributions. The n-point functions do not factorize as for...
Superstring action in ...: kappa-Symmetry Light Cone Gauge (2000)
The Erwin, Schrodinger International Boltzmanngasse, A. A. Tseytlin, R. R. Metsaev, R. R. Metsaev
As part of program to quantize superstrings in AdS 5 S 5 in a light-cone gauge we nd the explicit form of the corresponding Green-Schwarz action in the fermionic light-cone -symmetry gauge. The...
Plancherel Formula for Berezin Deformation of L² on Riemannian Symmetric Space (2000)
The Erwin, Schrodinger International Boltzmanngasse, Of L, Yurii A. Neretin, Yurii A. Neretin
this paper
Some Special Geometry in Dimension Six (2000)
Andreas Cap, The Erwin, Schrodinger International Boltzmanngasse, Michael Eastwood, Michael Eastwood
: We generalise the notion of contact manifold by allowing the contact distribution to have codimension two. There are special features in dimension six. In particular, we show that the complex...
Lectures On Graded Differential Algebras And Noncommutative Geometry (2000)
The Erwin, Schrodinger International Boltzmanngasse, Michel Dubois-Violette, Michel Dubois-violette
These notes contain a survey of some aspects of the theory of graded differential algebras and of noncommutative differential calculi as well as of some applications connected with physics. They also...
Entropy on Crossed Products and Entropy on Free Products (2000)
The Erwin, Schrodinger International Boltzmanngasse, Marie Choda, Marie Choda
this paper, we show some results on relations between the topological entropy and the free products of automorphisms. We have our results by considering the free product of some automorphisms as...
The Cosmological Constant Problem from a Brane-World Perspective (2000)
Stefan Forste, The Erwin, Schrodinger International Boltzmanngasse, Zygmunt Lalak, Zygmunt Lalak, Hans Peter Nilles, ...
We point out several subtleties arising in brane-world scenarios of cosmological constant cancellation. We show that solutions with curvature singularities are inconsistent, unless the contribution...
Invariant domains in the complexification of a non-compact Riemannian symmetric space (2000)
The Erwin, Schrodinger International Boltzmanngasse, Laura Geatti, Laura Geatti
: Let G=K be a non-compact Riemannian symmetric space and let G C =K C be its complexification. Then G acts on G C =K C by left-translations. We study the invariant CR-structure of the closed...
Quantitative estimates for the Green function and an application to the Bergman metric (2000)
The Erwin, Schrodinger International Boltzmanngasse, Bergman Metric, Klas Diederich, Klas Diederich, Gregor Herbort, ...
Let D C n be a bounded pseudoconvex domain that admits a hoelder continuous plurisubharmonic exhaustion function. Let its pluricomplex Green function be denoted by GD (; ). In this article we give...
Homogeneous Hyper-Hermitian Metrics Which Are Conformally HyperKähler (2000)
The Erwin, Schrodinger International Boltzmanngasse, María Laura Barberis, Mar Ia, Laura Barberis
. Let g be a hyper-Hermitian metric on a simply connected hypercomplex four-manifold (M;H). We show that when the isometry group I(M;g) contains a subgroup acting simply transitively on M by...
Diffeomorphisms, Anomalies and the Fefferman-Graham Ambiguity (2000)
The Erwin, Schrodinger International Boltzmanngasse, A. Schwimmer, A. Schwimmer, S. Theisen, S. Theisen
Using the Weyl transfomations induced by diffeomorphisms we set up a cohomological problem for the Fefferman-Graham coefficients. The cohomologically nontrivial solutions remove the ambiguity and...
On Asymptotic Behaviour and Rectangular Band structures in SL(2,R) (2000)
The Erwin, Schrodinger International Boltzmanngasse, Brigitte E. Breckner, Brigitte E. Breckner
. In this paper we introduce asymptotic concepts, the diamond product and rectangular domains, as handy tools for the investigation of subsemigroups of Sl(2; R) in the large, and of Lie semialgebras....
Quantum Cohomology Rings of Grassmannians and Total Positivity (2000)
The Erwin, Schrodinger International Boltzmanngasse, Konstanze Rietsch, Konstanze Rietsch
. We identify the quantum cohomology ring of a Grassmannian as the coordinate ring of a subvariety of GLn and construct its totally positive part. Along the way an orthogonality formula for Schur...
N=(2|2) supersymmetric Toda lattice hierarchy in N=(2|2) Superspace (2000)
The Erwin, Schrodinger International Boltzmanngasse, In N=(j Superspace, O. Lechtenfeld, O. Lechtenfeld, A. Sorin, ...
An N=(2j2) supereld formulation of the N=(2j2) supersymmetric Toda lattice hierarchy is proposed, and its ve real forms are presented. PACS: 02.20.Sv; 02.30.Jr; 11.30.Pb Keywords: Completely...
Renormalization of Noncommutative Yang-Mills Theories: A Simple Example (2000)
The Erwin, Schrodinger International Boltzmanngasse, Harald Grosse, Harald Grosse, Thomas Krajewski, Thomas Krajewski, ...
We prove by explicit calculation that Feynman graphs in noncommutative Yang-Mills theory made of repeated insertions into itself of arbitrarily many one-loop ghost propagator corrections are...
The Superfield Formalism Applied to the Noncommutative Wess-Zumino Model (2000)
The Erwin, Schrodinger International Boltzmanngasse, A.A. Bichl, A. A. Bichl, J. M. Grimstrup, ...
We introduce the notion of superoperators on noncommutative R 4 and re-investigate in the framework of super fields the noncommutative Wess-Zumino model as a quantum field theory. In a highly...
The Flow Completion of a Manifold with Vector Field (2000)
The Erwin, Schrodinger International Boltzmanngasse, Franz W. Kamber, Franz W. Kamber, Peter W. Michor, Peter W. Michor
. For a vector eld X on a smooth manifold M there exists a smooth but not necessarily Hausdor manifold M R and a complete vector eld X R on it which is the universal completion of (M;X). 1. Theorem....
Nonlinear Self-Duality and Supersymmetry (2000)
The Erwin, Schrodinger International Boltzmanngasse, Sergei M. Kuzenko, Sergei M. Kuzenko, Stefan Theisen, Stefan Theisen
We review self-duality of nonlinear electrodynamics and its extension to several Abelian gauge fields coupled to scalars. We then describe self-duality in supersymmetric models, both N = 1 and N = 2....
Representations of the Exceptional Lie Superalgebra E(3,6): I. Degeneracy (2000)
The Erwin, Schrodinger International Boltzmanngasse, Victor G. Kac, Victor G. Kac, Alexei Rudakov, Alexei Rudakov
. Recently one of the authors obtained a classication of simple innitedimensional Lie superalgebras of vector elds which extends the well-known classication of E. Cartan in the Lie algebra case. The...
Black Hole Thermodynamics from Calculations in Strongly-Coupled Gauge Theory (2000)
The Erwin, Schrodinger International Boltzmanngasse, Gilad Lifschytz, Daniel Kabat, Daniel Kabat, ...
this report we describe a set of approximations that can be applied to the quantum mechanics in the regime of interest. Using these techniques we calculate the nite temperature partition function of...
On Generalizations of Verlinde's Formula (2000)
The Erwin, Schrodinger International Boltzmanngasse, P. Bantay, P. Bantay, Eotvos Univ
It is shown that traces of mapping classes of finite order may be expressed by Verlinde-like formulae. The 3D topological argument is explained, and the resulting trace identities for modular matrix...
Computation of some Examples of Brown's Spectral Measure in Free Probability (2000)
The Erwin, Schrodinger International Boltzmanngasse, Philippe Biane, Franz Lehner, Franz Lehner
. We use free probability techniques for computing spectra and Brown measures of some non hermitian operators in finite von Neumann algebras. Examples include un +u1 where un and u1 are the...
Composition Formulas Associated with Symbolic Calculi and Applications (2000)
The Erwin, Schrodinger International Boltzmanngasse, André Unterberger, E Unterberger
. Starting from three versions (two of which are classical) of the composition formula for Weyl symbols, we discuss some features of the composition formulas associated with several fully developed...
Strong Connections And Chern-Connes Pairing In The Hopf-Galois Theory (2000)
The Erwin, Schrodinger International Boltzmanngasse, L. Dabrowski, H. Grosse, P. M. Hajac, Ludwik Dabrowski, ...
We reformulate the concept of connection on a Hopf-Galois extension B` P in order to apply it in computing the Chern-Connes pairing between the cyclic cohomology HC 2n (B) and K 0 (B). This...
Hermitian and Kähler Submanifolds of a Quaternionic Kähler Manifold (2000)
The Erwin, Schrodinger International Boltzmanngasse, Ahler Submanifolds, D. V. Alekseevsky, D. V. Alekseevsky, ...
We study almost Hermitian submanifolds of a quaternionic Kähler manifold (M 4n ; Q; g). We investigate when such submanifold is Hermitian, almost Kähler and Kähler. Some characterizations of...
Semilinear Geometric Optics for Generalized Solutions (2000)
The Erwin, Schrodinger International Boltzmanngasse, M. Oberguggenberger, M. Oberguggenberger
This paper is devoted to the study of nonlinear geometric optics in Colombeau algebras of generalized functions in the case of Cauchy problems for semilinear hyperbolic systems in one space variable....
Closed Constraint Algebras and Path Integrals for Loop Group Actions (2000)
The Erwin, Schrodinger International Boltzmanngasse, Anton Alekseev, V. Schomerus, T. Strobl, Anton Alekseev, ...
In this note we study systems with a closed algebra of second class constraints. We describe a construction of the reduced theory that resembles the conventional treatment of first class constraints....
Foliations with Transversal Quaternionic Structures (2000)
The Erwin, Schrodinger International Boltzmanngasse, Paolo Piccinni, Izu Vaisman, Foliations Transversal Quaternionic
. We consider manifolds equipped with a foliation F of codimension 4q, and an almost quaternionic structure Q on the transversal bundle of F . After discussing conditions of projectability and...
On the Berezin-Toeplitz Calculus (2000)
The Erwin, Schrodinger International Boltzmanngasse, L.A. Coburn, L. A. Coburn
I consider the problem of composing Berezin-Toeplitz operators on the Hilbert space of Gaussian square-integrable entire functions on complex nspace, C n . For several interesting algebras of...
A mixed mean-field/BCS phase with an energy gap at high T_c (2000)
The Erwin, Schrodinger International Boltzmanngasse, N. Ilieva, N. Ilieva, W. Thirring, W. Thirring
We construct a pair potential which in a scaling limit leads to a Hamiltonian that generates co-existing mean-field and superconducting phases. Depending on the relative values of the coupling...
Extremal Properties of Central Half-Spaces for Product Measures (2000)
The Erwin, Schrodinger International Boltzmanngasse, F. Barthe, F. Barthe
We deal with the isoperimetric and the shift problem for subsets of measure one half in product probability spaces. We prove that the canonical central half-spaces are extremal in particular cases:...
Coset Construction of Parafermionic Hall States (2000)
A. Cappelli, The Erwin, Schrodinger International Boltzmanngasse, Parafermionic Hall States, Parafermionic Hall States, L. S. Georgiev, ...
Fractional quantum Hall fluids with fillings 2 ! ! 3 have been recently proposed which generalize the Pfaffian state ( = 2 + 1=2) into a hierarchy of states with parafermionic excitations. We...
A New Weight System on Chord Diagrams via Hyperkähler Geometry (2000)
The Erwin, Schrodinger International Boltzmanngasse, J. Sawon, Justin Sawon
A weight system on graph homology was constructed by Rozansky and Witten using a compact hyperkahler manifold. A variation of this construction utilizing holomorphic vector bundles over the manifold...
Localization Regions of Local Observables (2000)
The Erwin, Schrodinger International Boltzmanngasse, Bernd Kuckert, Bernd Kuckert
Exploiting the properties of the Jost-Lehmann-Dyson representation, it is shown that a nonempty smallest localization region can be associated with every local observable in the sense of Araki, Haag,...
Hyper-Kähler Hierarchies and their Twistor Theory (2000)
The Erwin, Schrodinger International Boltzmanngasse, Maciej Dunajski, Maciej Dunajski, Lionel J. Mason, Lionel J. Mason
A twistor construction of the hierarchy associated with the hyper-Kahler equations on a metric (the anti-self-dual Einstein vacuum equations, ASDVE, in four dimensions) is given. The recursion...
Extensions of Lie Algebras (2000)
The Erwin, Schrodinger International Boltzmanngasse, Wolfgang Ruppert, Dmitri Alekseevsky, Dmitri Alekseevsky, Peter W. Michor, ...
. We study (non-abelian) extensions of a given Lie algebra, identify a cohomological obstruction to the existence, and interpret it in terms of the HochschildSerre spectral sequence. A striking...
Hua Type Integrals over Unitary Groups and over Projective Limits of Unitary Groups (2000)
The Erwin, Schrodinger International Boltzmanngasse, Yurii A. Neretin, Yurii A. Neretin
We discuss some natural maps from a unitary group U(n) to a smaller group U(n m) (these maps are versions of the Livsic characteristic function). We calculate explicitly the direct images of the Haar...
The Erwin, Schrodinger International Boltzmanngasse, Pavel Grozman, Pavel Grozman
. Let M be an n-dimensional manifold, V the space of a representation : GL(n) ! GL(V ). Locally, let T (V ) be the space of sections of the tensor bundle with ber V over a suciently small open set U...
On cocycles with values in the group SU(2) (2000)
The Erwin, Schrodinger International Boltzmanngasse, Krzysztof Fraczek, Krzysztof Fraczek
In this paper we introduce the notion of degree for C 1 --cocycles over irrational rotations on the circle with values in the group SU(2). It is shown that if a C 1 --cocycle ' : T! SU(2) over...
The Erwin, Schrodinger International Boltzmanngasse, P.A. Grassi, G. Barnich, G. Barnich
The Caswell-Wilczek analysis on the gauge dependence of the effective action and the renormalization group functions in Yang-Mills theories is generalized to generic, possibly power counting non...
A Fresh Look at Entropy and the Second Law of Thermodynamics (2000)
The Erwin, Schrodinger International Boltzmanngasse, Elliott H. Lieb, Akob Yngvason, Jakob Yngvason
The existence of entropy and its increase can be understood without reference to either statistical mechanics or heat engines. In days long gone, the second law of thermodynamics (which predated the...
Gravitational Anomalies in a Dispersive Approach (2000)
The Erwin, Schrodinger International Boltzmanngasse, R. A. Bertlmann, R. A. Bertlmann, E. Kohlprath, E. Kohlprath
The gravitational anomalies in two dimensions, specically the Einstein anomaly and the Weyl anomaly, are fully determined by means of dispersion relations. In this approach the anomalies originate...
The Erwin, Schrodinger International Boltzmanngasse, Itai Benjamini, Itai Benjamini, Gideon Schechtman, Gideon Schechtman
Bounds on the range of random graph homomorphism into Z, and the maximal height dierence of the Gaussian random eld, are presented. 1 Introduction In this note we study the range of two related...
A Uniform Estimate for the Quartile Operator (2000)
The Erwin, Schrodinger International Boltzmanngasse, Christoph Thiele, Christoph Thiele
. There is a one parameter family of bilinear Hilbert transforms. Recently, some progress has been made to prove L p estimates for these operators uniformly in the parameter. In the current article...
Rigidity of Measurable Structure for Z^d-Actions By Automorphisms of a Torus (2000)
The Erwin, Schrodinger International Boltzmanngasse, For Z, Anatole Katok, Anatole Katok, Svetlana Katok, ...
. We show that for certain classes of actions of Z d ; d 2, by automorphisms of the torus any measurable conjugacy has to be affine, hence measurable conjugacy implies algebraic conjugacy; similarly...
The Ground State Energy of a Dilute Two-dimensional Bose Gas (2000)
The Erwin, Schrodinger International Boltzmanngasse, Elliott H. Lieb, J. Yngvason, Elliott H. Lieb, Jakob Yngvason
The ground state energy per particle of a dilute, homogeneous, two-dimensional Bose gas, in the thermodynamic limit is shown rigorously to be E 0 =N = (2~ 2 ae=m)j ln(aea 2 )j \Gamma1 , to leading...
Crosscaps, Boundaries and T-duality (2000)
The Erwin, Schrodinger International Boltzmanngasse, L. R. Huiszoon, L. R. Huiszoon, A. N. Schellekens, A. N. Schellekens
Open descendants with boundaries and crosscaps of non-trivial automorphism type are studied. We focus on the case where the bulk symmetry is broken to a Z 2 orbifold subalgebra. By requiring...
Towards a Nonperturbative Covariant Regularization in 4D Quantum Field Theory (1999)
The Erwin, Schrodinger International Boltzmanngasse, H. Grosse, H. Grosse, A. Strohmaier, A. Strohmaier
. We give a noncommutative version of the complex projective space CP 2 and show that scalar QFT on this space is free of UV divergencies. The tools necessary to investigate Quantum fields on this...
The Ground State Energy and Density of Interacting Bosons in a Trap (1999)
The Erwin, Schrodinger International Boltzmanngasse, Elliott H. Lieb, Elliott H. Lieb, Robert Seiringer, Robert Seiringer, ...
In the theoretical description of recent experiments with dilute Bose gases confined in external potentials the Gross-Pitaevskii equation plays an important role. Its status as an approximation for...
Localization, Stability and Boundary Behavior of the Kobayashi Metrics (1999)
The Erwin, Schrodinger International Boltzmanngasse, Nikolai Nikolov, Nikolai Nikolov
. Localization and stability results for the higher order and singular Kobayashi metrics are established in this paper. As an application we obtain the nontangential weighted limits of these metrics...
Generalized Cohomology For Irreducible Tensor Fields Of Mixed Young Symmetry Type (1999)
The Erwin, Schrodinger International Boltzmanngasse, Michel Dubois-Violette, Michel Dubois-violette, Marc Henneaux, Marc Henneaux
We construct N-complexes of non completely antisymmetric irreducible tensor fields on R D generalizing thereby the usual complex (N = 2) of differential forms. These complexes arise naturally in the...
Regularity Properties of Distributions and Ultradistributions (1999)
S. Pilipovic, The Erwin, Schrodinger International Boltzmanngasse, D. Scarpalezos, D. Scarpalezos
We give necessary and sufficient conditions for a regularized net of a distribution in an open set\Omega which imply that this distribution is a smooth function or C k function in \Omega\Gamma We...
Graded KMS Functionals and the Breakdown of Supersymmetry (1999)
The Erwin, Schrodinger International Boltzmanngasse, Detlev Buchholz, Detlev Buchholz, Roberto Longo, Roberto Longo
It is shown that the modulus of any graded or, more generally, twisted KMS functional of a C --dynamical system is proportional to an ordinary KMS state and the twist is weakly inner in the...
A Global Theory of Algebras of Generalized Functions (1999)
The Erwin, Schrodinger International Boltzmanngasse, M. Grosser, M. Kunzinger, M. Kunzinger, R. Steinbauer, ...
. We present a geometric approach to defining an algebra G(M) (the Colombeau algebra) of generalized functions on a smooth manifold M containing the space D 0 (M) of distributions on M . Based on...
On Vershik's Standardness Criterion and Tsirelson's Notion of Cosiness (1999)
M. Emery, The Erwin, Schrodinger International Boltzmanngasse, W. Schachermayer, W. Schachermayer
. --- Building on work done by A. Vershik some thirty years ago, the insight into different types of filtrations has recently seen important progress, due in particular to B. Tsirelson, and L....
On Thermal States of (1+1)-dimensional Quantum Systems (1999)
The Erwin, Schrodinger International Boltzmanngasse, H.J. Borchers, H. J. Borchers
: (1+1)--dimensional thermal systems will be investigated and their relation to vacuum theories will be explained. Moreover, consequences for the linit T ! 0 and for supersymmetry will be discussed....
Analytic and Gevrey Regularity for Some Model Equations (1999)
The Erwin, Schrodinger International Boltzmanngasse, Antonio Bove, Antonio Bove, David Tartakoff, David Tartakoff
. We state some Gevrey hypoellipticity results for some model equations representing certain classes of sums of squares of vector fields operators. 1. Introduction and statements The purpose of this...
On the foundations of nonlinear generalized functions I (1999)
The Erwin, Schrodinger International Boltzmanngasse, E. Farkas, M. Grosser, M. Kunzinger, M. Kunzinger, ...
. We construct a diffeomorphism invariant (Colombeau-type) differential algebra canonically containing the space of distributions in the sense of L. Schwartz. Employing differential calculus in...
Atoms in strong magnetic fields: The high field limit at fixed nuclear charge (1999)
The Erwin, Schrodinger International Boltzmanngasse, Bernhard Baumgartner, Bernhard Baumgartner, Jan Philip Solovej, Jan Philip Solovej, ...
Let E(B; Z; N) denote the ground state energy of an atom with N electrons and nuclear charge Z in a homogeneous magnetic field B. We study the asymptotics of E(B; Z; N) as B ! 1 with N and Z fixed...
From Brunn-Minkowski To Brascamp-Lieb And To Logarithmic Sobolev Inequalities (1999)
The Erwin, Schrodinger International Boltzmanngasse, S. G. Bobkov, S. G. Bobkov, M. Ledoux, M. Ledoux
. --- We develop several applications of the Brunn-Minkowki inequality in the Pr'ekopa-Leindler form. In particular, we show that an argument of B. Maurey may be adapted to deduce from the...
Properties Of The Canonical Solution Operator To. . . (1999)
The Erwin, Schrodinger International Boltzmanngasse, Friedrich Haslinger, Friedrich Haslinger, Hilbert Schmidt Operators
. In this paper we give a direct proof that the canonical solution operator of @ restricted to (0; 1)-forms with holomorphic coefficients is a Hilbert Schmidt operator for the case of the unit disk...
Local L² Results for . . . on a Singular Surface (1999)
The Erwin, Schrodinger International Boltzmanngasse, Klas Diederich, John Erik Fornaess, Local L, ...
Contents 1 Introduction 1 2 Geometry of Varieties 2 3 L 2 Spaces 14 4 Solutions of @: 16 4.1 Piecewise solutions . . . . . . . . . . . . . . . . . . . . . . . . 16 4.2 Estimates in C 2 x;y . . . . ....
Einstein Manifolds and Contact Geometry (1999)
The Erwin, Schrodinger International Boltzmanngasse, Charles P. Boyer, Charles P. Boyer, Krzysztof Galicki, Krzysztof Galicki
. We show that every K-contact Einstein manifold is Sasakian-Einstein and discuss several corollaries of this result. 1. Introduction Recently the authors and their collaborators (cf. [BG1, BG2])...
Andrew Swann Vienna, The Erwin, Schrodinger International Boltzmanngasse, Andrew Swann, Andrew Swann
Introduction Suppose (M; g) is a Riemannian manifold. One fundamental piece of data determined by g is the restricted holonomy group Hol. If we assume that Hol acts irreducibly on TM , which is the...
Schwinger Terms of the Commutator of two Interacting Currents in the 1+1 Dimensions (1999)
Tomás Sykora, The Erwin, Schrodinger International Boltzmanngasse
We calculate the equal-time commutator of two fermionic currents within the framework of the 1+1 dimensional fully quantized theory, describing the interaction of massive fermions with a massive...
Homogeneous Estimates for Oscillatory Integrals (1999)
The Erwin, Schrodinger International Boltzmanngasse, Björn Gabriel Walther
. Let u(x; t) be the solution to the free time-dependent Schrodinger equation at the point (x; t) in space-time R n+1 with initial data f . We characterize the size of u in terms L p (L q )-estimates...
The Bott-Borel-Weil Theorem for Direct Limit Groups (1999)
The Erwin, Enriqueta Rodríguez-Carrington, Schrodinger International Boltzmanngasse, Loki Natarajan, Joseph A. Wolf, ...
. We show how highest weight representations of certain infinite dimensional Lie groups can be realized on cohomology spaces of holomorphic vector bundles. This extends the classical...
On the T(1)-Theorem for the Cauchy Integral (1999)
The Erwin, Schrodinger International Boltzmanngasse, Joan Verdera
The main goal of this paper is to present an alternative, real variable proof of the T(1)-Theorem for the Cauchy Integral. We then prove that the estimate from below of analytic capacity in terms of...
Weyl Structures for Parabolic Geometries (1999)
Andreas Cap, Jan Slovák, The Erwin, Schrodinger International Boltzmanngasse
. Motivated by the rich geometry of conformal Riemannian manifolds and by the recent development of geometries modeled on homogeneous spaces G=P with G semisimple and P parabolic, Weyl structures and...
The Bergman Kernel for Convex Tubes (1999)
The Erwin, Schrodinger International Boltzmanngasse, G Abor, Gábor Francsics, Nicholas Hanges, Nicholas Hanges, ...
. Let\Omega ae R n be a bounded, convex and open set with real analytic boundary. Let T\Omega ae C n be the tube with base\Omega ; and let B be the Bergman kernel of T\Omega : If\Omega is strongly...
On the foundations of nonlinear generalized functions II (1999)
The Erwin, Schrodinger International Boltzmanngasse, M. Grosser
. This paper gives a comprehensive analysis of algebras of Colombeau-type generalized functions in the range between the diffeomorphism-invariant quotient algebra G d = EM =N introduced in part I and...
Group Theoretical Quantization and the Example of a Phase Space S¹ × R+ (1999)
The Erwin, Schrodinger International Boltzmanngasse, Theta R, Martin Bojowald, Martin Bojowald, Thomas Strobl, ...
The group theoretical quantization scheme is reconsidered by means of elementary systems. Already the quantization of a particle on a circle shows that the standard procedure has to be supplemented...
The Erwin, Schrodinger International Boltzmanngasse, D. J. Broadhurst, D. J. Broadhurst, D. Kreimer, ...
It is easy to sum chain-free self-energy rainbows, to obtain contributions to anomalous dimensions. It is also easy to resum rainbow-free self-energy chains. Taming the combinatoric explosion of all...
Entropy of Automorphisms of II-Factors Arising from the Dynamical Systems Theory (1999)
The Erwin, Schrodinger International Boltzmanngasse, V. Ya. Golodets, V. Ya. Golodets, S.V. Neshveyev, S. V. Neshveyev
Let a countable amenable group G acts freely and ergodically on a Lebesgue space (X; ), preserving the measure . If T 2 Aut (X; ) is an automorphism of the equivalence relation defined by G then T...
Tractor Calculi for Parabolic Geometries (1999)
The Erwin, Schrodinger International Boltzmanngasse, Andreas Cap, A. Rod Gover, A. Rod Gover
. Parabolic geometries may be considered as curved analogues of the homogeneous spaces G=P where G is a semi-simple Lie group and P ae G a parabolic subgroup. Conformal geometries and CR geometries...
On a Conjecture for the Critical Behaviour of KAM Tori (1999)
The Erwin, Schrodinger International Boltzmanngasse, Federico Bonetto, Federico Bonetto, Guido Gentile, Guido Gentile
. At the light of recent results in literature we review a conjecture formulated in Math. Phys. Electron. J. 1 (1995), paper 5, 1--13, about the mechanism of breakdown of invariant sets in KAM...
A Geometric Lemma and Duality of Entropy Numbers (1999)
The Erwin, Schrodinger International Boltzmanngasse, V. D. Milman, S. J. Szarek
this paper. Its appeal lies in the fact that the multiplicative constant on the right hand side is 1, a feature that is important in some contexts.
Modular Theory and Geometry (1999)
The Erwin, Schrodinger International Boltzmanngasse, B. Schroer, B. Schroer
In this communication we present some new results on modular theory in the context of quantum field theory. In doing this we develop some new proposals how to generalize concepts of finite...
On the Isotropic Constant of Non-Symmetric Convex Bodies (1999)
The Erwin, Schrodinger International Boltzmanngasse, G. Paouris, G. Paouris
We show that Bourgain's estimate LK cn 1 4 log n for the isotropic constant holds true for non-symmetric convex bodies as well. 1. Introduction Let K be a convex body in R n with centroid at the...
Graded Differential Geometry of Graded Matrix Algebras (1999)
The Erwin, Schrodinger International Boltzmanngasse, G. Reiter, H. Grosse, H. Grosse
We study the graded derivation-based noncommutative differential geometry of the Z 2 -graded algebra M (njm) of complex (n + m) \Theta (n +m)-matrices with the "usual block matrix grading"...
Algebraic Coding of Expansive Group Automorphisms and Two-Sided Beta-Shifts (1999)
The Erwin, Schrodinger International Boltzmanngasse, Klaus Schmidt, Klaus Schmidt
. Let ff be an expansive automorphisms of compact connected abelian group X whose dual group X is cyclic w.r.t. ff (i.e. X is generated by fØ \Delta ff n : n 2 Zg for some Ø 2 X). Then there exists...
Convergence Of The Vlasov-Poisson System To The Incompressible Euler Equations (1999)
The Erwin, Schrodinger International Boltzmanngasse, Yann Brenier, Yann Brenier
The convergence of the Vlasov-Poisson system to the incompressible Euler equations is investigated in two asymptotic regimes: the quasi-neutral limit and the gyrokinetic limit. A paraitre dans Comm....
An Analytic Solution to the Busemann-Petty Problem on Sections of Convex Bodies (1999)
The Erwin, Schrodinger International Boltzmanngasse, Alexander Koldobsky, R. J. Gardner, R. J. Gardner, Er Koldobsky, ...
. We derive a formula connecting the derivatives of parallel section functions of an origin-symmetric star body in R n with the Fourier transform of powers of the radial function of the body. A...
Bernstein-Gelfand-Gelfand Sequences (1999)
Andreas Cap, Jan Slovák, Ladimír Soucek, The Erwin, Schrodinger International Boltzmanngasse
. This paper is devoted to the study of geometric structures modeled on homogeneous spaces G=P , where G is a real or complex semisimple Lie group and P ae G is a parabolic subgroup. We use methods...
John's Theorem for an Arbitrary Pair of Convex Bodies (1999)
The Erwin, Schrodinger International Boltzmanngasse, A. Giannopoulos, A. Giannopoulos, I. Perissinaki, I. Perissinaki, ...
We provide a generalization of John's representation of the identity for the maximal volume position of L inside K, where K and L are arbitrary smooth convex bodies in R n . ?From this...
Perturbing Topological Field Theories (1999)
The Erwin, Schrodinger International Boltzmanngasse, Luiz Claudio, Q. Vilar, ...
The abelian Chern--Simons theory is perturbed by introducing local gauge-invariant interaction terms depending on the curvature. The computation of the correlation function D H fl 1 dx ¯ A ¯ H fl 2...
Extremal Problems and Isotropic Positions of Convex Bodies (1999)
The Erwin, Schrodinger International Boltzmanngasse, A.A. Giannopoulos, A. A. Giannopoulos, V. D. Milman, V. D. Milman
Let K be a convex body in R n and let W i (K), i = 1; : : : ; n \Gamma 1 be its quermassintegrals. We study minimization problems of the form minfW i (TK) j T 2 SLn g and show that bodies which...
Generalized Functions for Quantum Fields Obeying Quadratic Exchange Relations (1999)
The Erwin, Schrodinger International Boltzmanngasse, H. Grosse, H. Grosse, M. Oberguggenberger, M. Oberguggenberger, ...
The axiomatic formulation of quantum field theory (QFT) of the 1950's in terms of fields defined as operator valued Schwartz distributions is re-examined in the light of subsequent developments....
Orbifold Analysis Of Broken Bulk Symmetries (1999)
The Erwin, Schrodinger International Boltzmanngasse, Jürgen Fuchs, Jurgen Fuchs, Christoph Schweigert, Christoph Schweigert
In two-dimensional conformal field theory, we analyze conformally invariant boundary conditions which break part of the bulk symmetries. When the subalgebra that is preserved by the boundary...
On Large Time Asymptotics For Drift-Diffusion-Poisson Systems (1999)
The Erwin, Schrodinger International Boltzmanngasse, Giuseppe Toscani, Anton Arnold, Anton Arnold, Peter Markowich, ...
In this paper we analyze the convergence rate of solutions of certain drift-diffusion-Poisson systems to their unique steady state. These bi-polar equations model the transport of two populations of...
Description Of Infinite Dimensional Abelian Regular Lie Groups (1999)
The Erwin, Schrodinger International Boltzmanngasse, Peter Michor, Peter W. Michor, Josef Teichmann, Josef Teichmann
. It is shown that every abelian Lie group with smooth exponential mapping is a quotient of its Lie algebra via the exponential mapping. This paper is a sequel of [4], see also [5], chapter VIII,...
On the Multiplicity Function of Generic Group Extensions With Continuous Spectrum (1999)
The Erwin, Schrodinger International Boltzmanngasse, Oleg Ageev, Oleg N. Ageev
A modification of the method of geometric models is proposed and applied to the study of multiplicity functions of group extensions. It is proved that for some generic set of the automorphisms T of...
Distribution of Zeros of Random and Quantum Chaotic Sections of Positive Line Bundles (1998)
The Erwin, Schrodinger International Boltzmanngasse, Bernard Shiffman, Bernard Shiffman, Steve Zelditch, Steve Zelditch
. We study the limit distribution of zeros of certain sequences of holomorphic sections of high powers L N of a positive holomorphic Hermitian line bundle L over a compact complex manifold M . Our...
The Erwin, Schrodinger International Boltzmanngasse, A. Laptev, A. Laptev, O. Safronov, O. Safronov
. We obtain an asymptotic formula for the number of negative eigenvalues of a class of two-dimensional Schrodinger operators with small magnetic fields. This number increases as a coupling constant...
Macroscopic Models for Ionization in the Presence of Strong Electric Fields (1998)
The Erwin, Schrodinger International Boltzmanngasse, Strong Electric Fields, C. Schmeiser, P. Degond, P. Degond, ...
. Starting from a kinetic model for electrons in a weakly ionized plasma, a spherical harmonic expansion (SHE-) model is derived by a formal asymptotic analysis for strongly disparate masses of...
Resolving Markov chains onto Bernoulli shifts (1998)
The Erwin, Schrodinger International Boltzmanngasse, Brian Marcus, Brian Marcus, Selim Tuncel, Selim Tuncel
this paper, we will completely answer the following questions for an arbitrary Markov chain and a Bernoulli shift. (1) Does the Markov chain eventually factor onto the Bernoulli shift by...
The Erwin, Schrodinger International Boltzmanngasse, Kazuhiro Kurata, Kazuhiro Kurata
this paper is to show existence of the least energy solution (see Lemma 2) to (2) and to study a semi-classical limit of u h as h ! 0. We denote by H the Hilbert space defined by the closure of C
Modular Groups of Quantum Fields in Thermal States (1998)
The Erwin, Schrodinger International Boltzmanngasse, H.J. Borchers, H. J. Borchers, J. Yngvason, ...
: For a quantum field in a thermal equilibrium state we discuss the group generated by time translations and the modular action associated with an algebra invariant under half-sided translations. The...
Dedekind Zeta Functions and Quantum Statistical Mechanics (1998)
The Erwin, Schrodinger International Boltzmanngasse, Paula B. Cohen, Paula B. Cohen
Introduction In 1859 Riemann published an important foundational paper on the Riemann zeta function. Recall that this function is given for Re(s) ? 1 by i(s) = 1 X n=1 1 n s and that it has a...
Minimality and Unique Ergodicity for Homogeneous Actions of Split Subgroups (1998)
The Erwin, Schrodinger International Boltzmanngasse, A. N. Starkov, A. N. Starkov
. Let \Gamma be a lattice in a connected Lie group G, H ae G a connected subgroup, and Ad the adjoint representation of G on its Lie algebra g. Assume that Ad(H) splits into the product of a...
Lectures on Witten Helffer Sjöstrand theory (1998)
The Erwin, Schrodinger International Boltzmanngasse, Lectures Witten, Helffer Sjostrand, D. Burghelea
. Witten- Helffer-Sjostrand theory is a considerable addition to the De RhamHodge theory for Riemannian manifolds and can serve as a general tool to prove results about comparison of numerical...
Densest Packings of More Than Three d-spheres are Nonplanar (1998)
The Erwin, Schrodinger International Boltzmanngasse, U. Schnell, U. Schnell, J.M. Wills, J. M. Wills
. We prove that for a densest packing of more than three d--balls, d 3, where the density is measured by parametric density, the convex hull of their centers is either linear (a sausage) or at least...
Effective action and Hawking radiation for dilaton coupled scalars in two dimensions (1998)
The Erwin, Schrodinger International Boltzmanngasse, D. V. Vassilevich, W. Kummer, W. Kummer
The effective one-loop action for general dilaton theories with arbitrary dilaton-dependent measure and nonminimal coupling to scalar matter is computed. As an application we determine the Hawking...
Idempotent Mathematics and Interval Analysis (1998)
The Erwin, Schrodinger International Boltzmanngasse, A. N. Sobolevskii, G. L. Litvinov, G. L. Litvinov, V. P. Maslov, ...
A brief introduction into Idempotent Mathematics and an idempotent version of Interval Analysis are presented. Some applications are discussed. Key words: Idempotent Mathematics, Interval Analysis,...
The Erwin, Schrodinger International Boltzmanngasse, H. D. Cornean, H. D. Cornean, G. Nenciu, G. Nenciu
. - The spectral properties of two dimensional magnetic Schrodinger operators are studied. It is shown in the tight-binding limit that when a nonzero constant magnetic field is perturbed by an...
The Cappelli-Itzykson-Zuber A-D-E Classification (1998)
The Erwin, Schrodinger International Boltzmanngasse, Terry Gannon, Terry Gannon
. In 1986 Cappelli, Itzykson and Zuber classified all modular invariant partition functions for the conformal field theories associated to the affine A 1 algebra; they found they fall into an A-D-E...
Constructive Aspects of Algebraic Euclidean Field Theory (1998)
The Erwin, Schrodinger International Boltzmanngasse, Dirk Schlingemann, Dirk Schlingemann
This paper is concerned with constructive and structural aspects of euclidean field theory. We present a C*-algebraic approach to lattice field theory. Concepts like block spin transformations,...
Heat Trace Asymptotics for Domains with Singular Boundaries (1998)
The Erwin, Schrodinger International Boltzmanngasse, Olga Simek, Olga Simek
This paper presents three results regarding heat trace asymptotics for bounded domains with cusps. First, a refined asymptotic expansion for the Dirichlet heat trace \Theta(t) = Tre t\Delta D on a...
On the Group of Diffeomorphisms Preserving a Locally Conformal Symplectic Structure (1998)
The Erwin, Schrodinger International Boltzmanngasse, Stefan Haller, Stefan Haller, Tomasz Rybicki, Tomasz Rybicki
. The automorphism group of a locally conformal symplectic structure is studied. It is shown that this group possesses essential features of the symplectomorphism group. By using a special type of...
The Erwin, Schrodinger International Boltzmanngasse, M. Kunzinger, M. Kunzinger, R. Steinbauer, R. Steinbauer
The geodesic as well as the geodesic deviation equation for impulsive gravitational waves involve highly singular products of distributions (`ffi, ` 2 ffi , ffi 2 ). A solution concept for these...
Extremal manifolds and Hausdorff Dimension (1998)
The Erwin, Schrodinger International Boltzmanngasse, H. Dickinson, H. Dickinson, M. M. Dodson, M. M. Dodson
. The best possible lower bound for the Hausdorff dimension of the set of v-approximable points on a C 1 extremal manifold is obtained. 1. Introduction Let jxj = maxfjx 1 j; : : : ; jx n jg denote...
Spinors, Self-Duality, and IP Algebraic Curvature Tensors (1998)
The Erwin, Schrodinger International Boltzmanngasse, Peter B. Gilkey, Uwe Semmelmann, Peter B Gilkeyyand, Uwe Semmelmannz
. We give a construction of an IP algebraic curvature tensor of rank 4 in dimension m = 4 using spinors and the decomposition of the 2 forms into self-dual and anti-self dual forms. In dimension 7,...
High Field Approximations of the Spherical Harmonics Expansion Model for Semiconductors (1998)
Ben Abdallah Degond, The Erwin, Schrodinger International Boltzmanngasse, N. Ben Abdallah, N. Ben Abdallah, P. Degond, ...
. We present an asymptotic analysis (with the scaled mean free path as small parameter) of the spherical-harmonics expansion (SHE-) model for semiconductors in the case of a large electric field. The...
On the Free-Energy of Three-Dimensional CFTs and Polylogarithms (1998)
The Erwin, Schrodinger International Boltzmanngasse, Anastasios C. Petkou, Anastasios C. Petkou, ...
We study the O(N ) vector model and the U (N ) Gross-Neveu model with fixed total fermion number, in three dimensions. Using non-trivial polylogarithmic identities, we calculate the large-N...
The Erwin, Schrodinger International Boltzmanngasse, L. K. Hadjiivanov, I. T. Todorov, A. P. Isaev, A. P. Isaev, ...
The quantum dynamical Yang--Baxter (or Gervais--Neveu--Felder) equation defines an R-matrix R(p) , where p stands for a set of mutually commuting variables. A family of SL(n)-type solutions of this...
The Abstract Twistor Space of. . . (1998)
Zoltán Perjes, The Erwin, Schrodinger International Boltzmanngasse, George Sparling, George Sparling
Twistor Space of the Schwarzschild Space--Time Zolt'an Perj'es George Sparling Vienna, Preprint ESI 520 (1998) January 5, 1998 Supported by Federal Ministry of Science and Research, Austria...
The Erwin, Schrodinger International Boltzmanngasse, Renat Zhdanov, Renat Zhdanov
We obtain the most general form of the vector-potential of the electro-magnetic field A enabling separation of variables in the (1+2)- dimensional Schrodinger equation (SE). Using this result we have...
The Thirring Model 40 Years Later (1998)
The Erwin, Schrodinger International Boltzmanngasse, N. Ilieva, N. Ilieva, W. Thirring, W. Thirring
Solutions to the Thirring model are constructed in the framework of algebraic quantum field theory. It is shown that for all positive temperatures there are fermionic solutions only if the coupling...
Traces on Algebras of Parameter Dependent Pseudodifferential Operators and the Eta-Invariant (1998)
The Erwin, Schrodinger International Boltzmanngasse, Matthias Lesch, Matthias Lesch, Markus J. Pflaum, Markus J. Pflaum
We identify Melrose's suspended algebra of pseudodifferential operators with a subalgebra of the algebra of parametric pseudodifferential operators with parameter space R. For a general algebra...
Invariant CR Structures on Compact Homogeneous Manifolds (1998)
The Erwin, Schrodinger International Boltzmanngasse, Dmitry V. Alekseevsky, Dmitry V. Alekseevsky, Andrea F. Spiro, Andrea F. Spiro
. An explicit classification of the simply connected homogeneous spaces G=L of a compact Lie group G, admitting a G-invariant CR structure of codimension one and Levi non degenerate, is given. For...
The Global Control of Shock Waves (1998)
The Erwin, Schrodinger International Boltzmanngasse, J.E. Rubio, J. E. Rubio
We consider control problems associated with nonlinear wave equations, in which the slope of the admissible trajectories can be made to approach infinity by choosing parameters in an appropriate...
The Inverse Spectral Problem for First Order Systems on the Half Line (1998)
The Erwin, Schrodinger International Boltzmanngasse, Matthias Lesch, Mark Malamud
On the half line [0; 1) we study first order differential operators of the form B 1 i d dx + Q(x); where B := ` B 1 0 0 \GammaB 2 ' ; B 1 ; B 2 2 M(n; C ) are self--adjoint positive definite...
Dirichlet Units and Critical Points of Closed 1-Forms (1998)
The Erwin, Schrodinger International Boltzmanngasse, Michael Farber, Michael Farber
. S. P. Novikov developed an analog of the Morse theory for closed 1-forms. In this paper we suggest an analog of the Lusternik - Schnirelman theory for closed 1-forms. For any cohomology class ¸ 2...
Chaos in Traveling Waves of Lattice Systems of Unbounded Media (1998)
The Erwin, Schrodinger International Boltzmanngasse, D. R. Orendovici, D. R. Orendovici, Ya.B. Pesin, Ya. B. Pesin
. We describe coupled map lattices (CML) of unbounded media corresponding to some well-known evolution partial differential equations (including reaction-diffusion equation, KuramotoSivashinsky,...
Semi-group Domination and Eigenvalue Estimates (1998)
The Erwin, Schrodinger International Boltzmanngasse, G. Rozenblum, G. Rozenblum
For a class of integral operators it is shown that if the integral kernel of one operator majorates the kernel of the other one then certain forms of eigenvalue estimates are inherited. The operators...
Novikov-Shubin Invariants and Asymptotic Dimensions for Open Manifolds (1998)
The Erwin, Schrodinger International Boltzmanngasse, Daniele Guido, Daniele Guido, Tommaso Isola, Tommaso Isola
The Novikov-Shubin numbers are defined for open manifolds with bounded geometry, the \Gamma-trace of Atiyah being replaced by a semicontinuous semifinite trace on the C -algebra of almost local...
On the Speed of Convergence to Equilibrium States for Certain Nonhyperbolic Systems (1998)
The Erwin, Schrodinger International Boltzmanngasse, Michiko Yuri, Michiko Yuri
We study statistical properties of infinite to one piecewise invertible systems. Under both Renyi's condition and the Bernoulli condition, we construct a class of functions in which the iterated...
Lattice Dislocations in a 1-Dimensional Model (1998)
The Erwin, Schrodinger International Boltzmanngasse, Evgeni Korotyaev, Evgeni Korotyaev
. The spectral properties of Schrodinger operator T (t) = \Gammad 2 =dx 2 + q(x; t) in L 2 (R) are studied, where a potential q = p(x + t); x ? 0; and q = p(x); x ! 0; p is a periodic potential and...
The Periodic Dirac Operator is Absolutely Continuous (1998)
The Erwin, Schrodinger International Boltzmanngasse, M. Sh. Birman, M. Sh. Birman, T. A. Suslina, ...
. We consider the periodic Dirac operator D in L 2 (R d ). The magnetic potential A and the electric potential V are periodic. For d = 2 the absolute continuity of D is established for A; V 2 L r;loc...
Fitting Ideals for Finitely Presented Algebraic Dynamical Systems (1998)
The Erwin, Schrodinger International Boltzmanngasse, M. Einsiedler, M. Einsiedler, T. Ward, T. Ward
. We consider a class of algebraic dynamical systems introduced by Kitchens and Schmidt. Under a weak finiteness condition -- the Descending Chain Condition -- the dual modules have finite...
Cylindric Billiards and Transitive Lie Group Actions (1998)
Nándor Simányi, Domokos Szász, The Erwin, Schrodinger International Boltzmanngasse
. A conjecture is formulated and discussed which provides necessary and sufficient condition for the ergodicity of cylindric billiards (this conjecture improves a previous one of the second author) ....
Estimates of Periodic Potentials in Terms of Gap Lengths (1998)
The Erwin, Schrodinger International Boltzmanngasse, Evgeni Korotyaev, Evgeni Korotyaev
. Define the Hill operator T = \Gammad 2 =dx 2 + q(x) in L 2 (R) and suppose q 2 L 2 (0; 1) is a 1-periodic real potential, R 1 0 q(x)dx = 0: We prove the estimate kqk 6 2kflk(1 + kflk 1=3 ); where...
Semi-classical Limit of Random Walks II (1998)
The Erwin, Schrodinger International Boltzmanngasse, Ursula Porod, Ursula Porod, Steve Zelditch, Steve Zelditch
Let (G; ¯) be a symmetric random walk on a compact Lie group G. We will call (G; ¯) a Lagrangean random walk if the step distribution ¯, a probability measure on G, is also a Lagrangean...
Semi-classical Limit for Random Walks (1998)
The Erwin, Schrodinger International Boltzmanngasse, Ursula Porod, Ursula Porod, Steve Zelditch, Steve Zelditch
Let (G; ¯) be a discrete symmetric random walk on a compact Lie group G with step distribution ¯ and let T¯ be the associated transition operator on L 2 (G). The irreducibles V ae of the left...
Entropy Theory without Past (1998)
The Erwin, Schrodinger International Boltzmanngasse, E. Glasner, E. Glasner, ...
. This paper treats the Pinsker algebra of a dynamical system in a way which avoids the use of an ordering on the acting group. This enables us to prove some of the classical results about entropy...
Andreas Cap, Jan Slovák, Vladimír Soucek, The Erwin, Schrodinger International Boltzmanngasse
This paper demonstrates the power of the calculus developed in the two previous parts of the series for all real forms of the almost Hermitian symmetric structures on smooth manifolds, including e.g....
Chiral Actions and Einstein's Vacuum Equations (1998)
The Erwin, Schrodinger International Boltzmanngasse, D. C. Robinson, D C Robinsony
The Euler-Lagrange equations of recently introduced chiral action principles are discussed using Lie algebra-valued differential forms. Symmetries of the equations and the chiral description of...
Isotropy Representation of Flag Manifolds (1998)
The Erwin, Schrodinger International Boltzmanngasse, D. V. Alekseevsky
Flag manifolds of a classical compact Lie group G considered up to a diffeomorphism are described in terms of painted Dynkin diagrams. The explicit decomposition of the isotropy representation into...
Spacing between Phase Shifts in a Simple Scattering Problem (1998)
The Erwin, Schrodinger International Boltzmanngasse, Steve Zelditch, Steve Zelditch, Maciej Zworski, Maciej Zworski
ly, @ ` is the vector field generating the S 1 action on X n fmg. As in the case of compact simple surfaces of revolution (see [1],[5],[3]) we have as stronger statement: Proposition 1. For (X n fmg;...
The Erwin, Schrodinger International Boltzmanngasse, Jakob Yngvason, Jakob Yngvason
Introduction Modern semiconductor technology has in recent years made it possible to fabricate ultrasmall structures that confine electrons on scales comparable to their de Broglie wavelength. If the...
A Nonlinear Theory of Tensor Distributions (1998)
The Erwin, Schrodinger International Boltzmanngasse, J.A. Vickers, J. A. Vickers, J. P. Wilson
. The coordinate invariant theory of generalised functions of Colombeau and Meril is reviewed and extended to enable the construction of multi-index generalised tensor functions whose transformation...
Skew Products and Mod 2 Normal Numbers (1998)
The Erwin, Schrodinger International Boltzmanngasse, Geon Ho Choe, Toshihiro Hamachi, Hitoshi Nakada
. The mod 2 normality of a real number is defined with respect to measurable subsets in the unit interval and the coboundary condition is obtained. The relation with skew product transformation is...
A Quantum Deformation of Invariants of Higher Binary Forms (1998)
The Erwin, Schrodinger International Boltzmanngasse, Frank Leitenberger, Frank Leitenberger
this article we develop a theory of a quantum deformation of the invariant theory of higher binary forms. The invariant theory was developed by Cayley, Silvester, Clebsch, Gordan, Capelli etc. (cf....
Group Analysis of Differential Equations and Generalized Functions (1998)
The Erwin, Schrodinger International Boltzmanngasse, M. Kunzinger, M. Kunzinger, M. Oberguggenberger, M. Oberguggenberger
. We present an extension of the methods of classical Lie group analysis of differential equations to equations involving generalized functions (in particular: distributions). A suitable framework...
Spin-Statistics and CPT for Solitons (1997)
The Erwin, Schrodinger International Boltzmanngasse
: It is analysed under which conditions the statistics of soliton sectors of massive two-dimensional field theories can be properly defined. A soliton field algebra is defined as a crossed product...
On the Cohomology of Algebraic Z d -actions with Values in Compact Lie Groups (1997)
The Erwin, Schrodinger International Boltzmanngasse, Klaus Schmidt, Klaus Schmidt
. Let d 2, and let ff be an expansive and mixing Z d -action by automorphisms of a compact, abelian group X. We prove the following: if the entropy h(ffn) is finite for every n 2 Z d , then there...
Bounds on the Multiplicity of Eigenvalues for Fixed Membranes (1997)
The Erwin, Schrodinger International Boltzmanngasse, Thomas Hoffmann-Ostenhof, Thomas Hoffmann-ostenhof, Peter W. Michor, Peter W. Michor, ...
. For a membrane in the plane the multiplicity of the k-th eigenvalue is known to be not greater than 2k \Gamma 1. Here we prove that it is actually not greater than 2k \Gamma 3, for k 3. 1....
Almost All S-Integer Dynamical Systems Have Many Periodic Points (1997)
The Erwin, Schrodinger International Boltzmanngasse, T. B. Ward, T. B. Ward
. We show that for almost every ergodic S--integer dynamical system the radius of convergence of the dynamical zeta function is no larger than exp(\Gamma 1 2 htop ) ! 1. In the arithmetic case almost...
Geometry in Color Perception (1997)
The Erwin, Schrodinger International Boltzmanngasse, Alejandro Corichi, Abhay Ashtekar, Abhay Ashtekar, Monica Pierri, ...
Since the days of Newton, the space C of colors perceived by a normal human eye has been known to be three-dimensional. It was recognized as one of the earliest examples of a manifold by Riemann, and...
On the Multiplicity of Eigenvalues of the Laplacian on Surfaces (1997)
The Erwin, Schrodinger International Boltzmanngasse, T. Hoffmann-Ostenhof, T. Hoffmann--ostenhof, M. Hoffmann-ostenhof, T. Hoffmann-ostenhof, ...
We show that the multiplicity of the eigenvalues of the Laplace Beltrami operator on compact Riemannian surfaces with genus zero is bounded by m( k ) 2k \Gamma 3 for k 3. Here we label the...
Some Questions of a General Spectral Theory of Banach Modules (1997)
The Erwin, Schrodinger International Boltzmanngasse, Nikolai Ya. Radyno, Nikolai Ya. Radyno
When solving the problem on multiplication of generalized functions physicists and mathematicians are considering a generalized function as an equivalence class of sequences of C 1 -functions. The...
... Admissible Representations - Fusion Transformations and Local Correlators (1996)
The Erwin, Schrodinger International Boltzmanngasse, A. Ch. Ganchev, P. Furlan, P. Furlan, V. B. Petkova, ...
We reconsider the earlier found solutions of the Knizhnik-Zamolodchikov (KZ) equations describing correlators based on the admissible representations of A (1) 1 . Exploiting a symmetry of the KZ...
Explicit Doubly-Hermitian Metrics (1995)
The Erwin, Schrodinger International Boltzmanngasse, Piotr Z. Kobak, Piotr Z. Kobak
. We construct explicit examples of 4-dimensional Riemannian metrics which admit precisely two independent hermitian structures with the same orientation. It is shown that metrics of this type exist...
On Topological Radon Transforms (1995)
The Erwin, Schrodinger International Boltzmanngasse, Lars Ernström, Lars Ernstr Om, Toru Ohmoto, Toru Ohmoto, ...
this paper we consider Radon transformations of constructible functions and of homology classes. The Radon transformation treated in [7,8] is the homomorphism
The Erwin, Jan Slovak, Vladimir Soucek, Schrodinger International Boltzmanngasse, Andreas Cap
. This is the first part of a series of three papers. The whole series aims to develop the tools for the study of all almost Hermitian symmetric structures in a unified way. In particular, methods...
Duality Principle And Braided Geometry (1994)
The Erwin, Schrodinger International Boltzmanngasse, Shahn Majid, S. Majid
We give an overview of a new kind symmetry in physics which exists between observables and states and which is made possible by the language of Hopf algebras and quantum geometry. It has been...
Topological Entropy of Some Automorphisms of Reduced Amalgamated Free Product C
Algebras Kenneth Dykema, The Erwin, Schrodinger International Boltzmanngasse, Free Product C, Kenneth J. Dykema, Kenneth J. Dykema
. Certain classes of automorphisms of reduced amalgamated free products of C -- algebras are shown to have Voiculescu--Brown topological entropy zero. Also, for automorphisms of exact C --algebras,...
Invariant Local Twistor Calculus for Quaternionic Structures and Related Geometries
The Erwin, Schrodinger International Boltzmanngasse, Rod Gover Jan, A. Rod, Jan Slov Ak
. New universal invariant operators are introduced in a class of geometries which include the quaternionic structures and their generalisations as well as 4-dimensional conformal (spin) geometries....
Objects, Events and Localization
The Erwin, Schrodinger International Boltzmanngasse, Rudolf Haag, Rudolf Haag
malism of Quantum Theory we may not be able to subdivide the universe into individual things, single out individual objects, individual quantum processes, individual facts. On the other hand we know...