The Erwin

Supported by the Austrian Federal Ministry of Education, Science and Culture (2009)

The Erwin, Schrödinger International Boltzmanngasse, Stefan Haller, Cornelia Vizman, Stefan Haller, Cornelia Vizman

Abstract. 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...

AND (2009)

The Erwin, Schrödinger International Boltzmanngasse, Simon Hochgerner, Armin Rainer, Simon Hochgerner, Armin Rainer

Abstract. We consider the Poisson reduced space (T ∗ Q)/K with respect to a cotangent lifted action. It is assumed that K is a compact Lie group which acts by isometries on the Riemannian manifold...

Parallel Spinors on Lorentzian Spin c Manifolds (2009)

The Erwin, Schrödinger International Boltzmanngasse, Aziz Ikemakhen, Aziz Ikemakhen

We describe the possible holonomy groups of simply connected Lorentzian spin c manifolds which admit parallel spinors. And in particular, we study the simply connected Lorentzian spin c symmetric...

hep-th/0607045 Can D-branes Wrap Nonrepresentable Cycles? (2009)

The Erwin, Schrödinger International Boltzmanngasse, Jarah Evslin, Hisham Sati, Jarah Evslin, Hisham Sati

Sometimes a homology cycle of a nonsingular compactification manifold cannot be represented by a nonsingular submanifold. We want to know whether such nonrepresentable cycles can be wrapped by...

Available via anonymous ftp or gopher from FTP.ESI.AC.ATKählerian Killing Spinors, Complex Contact Structures and Twistor Spaces (2009)

The Erwin, Schrödinger International Boltzmanngasse, Andrei Moroianu, Uwe Semmelmann, Andrei Moroianu, Uwe Semmelmann

0. Introduction. The notion of complex contact structures was introduced in the late 50’s by S. Kobayashi (cf. [6]), in analogy to real contact structures. In 1982 S. Salamon investigated in [9]...

The Low–Temperature Phase of Kac–Ising Models (2009)

The Erwin, Schrödinger International Boltzmanngasse, Anton Bovier, Anton Bovier

Abstract: We analyse the low temperature phase of ferromagnetic Kac-Ising models in dimensions d ≥ 2. We show that if the range of interactions is γ −1, then two disjoint translation invariant...

Supported by the Austrian Federal Ministry of Education, Science and Culture (2009)

The Erwin, Schrödinger International Boltzmanngasse, Dariush Ehsani, Dariush Ehsani

Abstract. Let Ω = Ω1 × · · · × Ωn ⊂ Cn, where Ωj ⊂ C is a bounded domain with smooth boundary. We study the solution operator to the ¯ ∂-Neumann problem for (0, 1)-forms on Ω....

Aggregation (2009)

The Erwin, Schrödinger International Boltzmanngasse, Sébastien Blachère, Sébastien Blachère

The Internal Diffusion Limited Aggregation (Internal DLA) is a growth model on an infinite set G, associated to a random walk on G. It was introduced by Diaconis and Fulton in 1991 [2]. Lawler,...

Both authors were partially supported by the Erwin-Schrödinger-Institute in Vienna. 1 (2009)

The Erwin, Schrödinger International Boltzmanngasse, Piotr Mankiewicz, Carsten Schütt, Piotr Mankiewicz, Carsten Schütt, ...

Abstract. “Almost exact ” estimates for the Delone triangulation numbers are given. In particular deln−1 lim = n→ ∞ n 1

Hypersymmetries of Extremal Equations (2009)

The Erwin, Schrödinger International Boltzmanngasse, D. P. Zhelobenko, D. P. Zhelobenko

Abstract. A general scheme is proposed, for a study of extremal equations associated with regular Cartan type algebras, in the sence of [Z1]. The theory of extremal equations is mentioned here as a...

OVER BIALGEBRAS (2009)

The Erwin, Schrödinger International Boltzmanngasse, V. Lychagin

Abstract. We describe braidings and quantizations in monoidal categories over bialgebras and group algebras of compact Lie groups. We introduce a relative variant of a braiding and a quantization...

Ambient connections realising conformal Tractor holonomy (2009)

The Erwin, Schrödinger International Boltzmanngasse, Stuart Armstrong, Thomas Leistner, Stuart Armstrong, Thomas Leistner

For a conformal manifold we introduce the notion of an ambient connection, an affine connection on an ambient manifold of the conformal manifold, possibly with torsion, and with conditions relating...

ESI (2009)

The Erwin, Schrödinger International Boltzmanngasse, Lectures Witten, Helffer Sjöstrand, D. Burghelea

Abstract. Witten- Helffer-Sjöstrand theory is a considerable addition to the De Rham-Hodge theory for Riemannian manifolds and can serve as a general tool to prove results about comparison of...

SELF-DUAL GRAVITY REVISITED (2009)

The Erwin, Schrödinger International Boltzmanngasse, Ch. Devchand, V. Ogievetsky, Dubna Jinr-e, Ch. Devch, ...

Abstract: Reconsidering the harmonic space description of the self-dual Einstein equations, we streamline the proof that all self-dual pure gravitational fields allow a local description in terms of...

A FUNDAMENTAL DOMAIN FOR THE PICARD MODULAR GROUP IN C 2 (2009)

The Erwin, Schrödinger International Boltzmanngasse, Gábor Francsics, Peter D. Lax, Gábor Francsics, ...

Abstract. Our main goal in this paper is to construct a semi-explicit fundamental domain of the Picard modular group in C 2 that has all the geometric properties needed for the spectral analysis of...

Compact Kac algebras and commuting squares (2009)

The Erwin, Schrödinger International Boltzmanngasse, Teodor Banica, Teodor Banica, Teodor Banica

the algebra of complex numbers in the lower left corner. Examples include the vertex models, the spin models (in the sense of subfactor theory) and the commuting squares 3 associated to finite...

Available via anonymous ftp or gopher from FTP.ESI.AC.ATFluctuations of Shapes of Large Areas under Paths of Random Walks (2009)

The Erwin, Schrödinger International Boltzmanngasse, R. Dobrushin, O. Hryniv, R. Dobrushin, O. Hryniv

We discuss statistical properties of random walks conditioned by fixing a large area under their paths. We prove the functional central limit theorem (invariance principle) for these conditional...

Supported by the Austrian Federal Ministry of Education, Science and Culture (2009)

The Erwin, Schrödinger International Boltzmanngasse, John P. D’angelo

Abstract. We merge results from two preprints into a coherent whole. First we describe one-dimensional versions of two problems, a monotonicity result for volumes and the Szegö Limit Theorem. We...

A Survey of Characteristic Classes of Singular Spaces (2009)

The Erwin, Schrödinger International Boltzmanngasse, Jörg Schürmann, Shoji Yokura

ABSTRACT. The theory of characteristic classes of vector bundles and smooth manifolds plays an important role in the theory of smooth manifolds. An investigation of reasonable notions of...

LOCAL EQUIVALENCE OF SYMMETRIC (2009)

The Erwin, Schrödinger International Boltzmanngasse, Hypersurfaces In C

Abstract. The Chern-Moser normal form and its analog on finite type hypersurfaces in general do not respect symmetries. Extending the work of N. K. Stanton, we consider the local equivalence problem...

Supported by the Austrian Federal Ministry of Education, Science and Culture (2009)

The Erwin, Schrödinger International Boltzmanngasse, Yurii A. Neretin, Yurii A. Neretin

Consider an affine Bruhat-Tits building Latn of the type An−1 and the complex distance in Latn, i.e., the complete system of invariants of a pair of vertices of the building. An elements of the...

Polynomials (2009)

The Erwin, Schrödinger International Boltzmanngasse, Yossi Moshe, Yossi Moshe

Let H(x) be a monic polynomial over a finite field F = GF(q). Denote by Na(n) the number of coefficients in H n which are equal to an element a ∈ F, and by G the set of elements a ∈ F × such...

Supported by Federal Ministry of Science and Transport, Austria (2009)

The Erwin, Schrödinger International Boltzmanngasse, Maciej Zworski

We consider scattering by an abstract compactly supported perturbation in Rn. To include the traditional cases of potential, obstacle and metric scattering without going into their particular nature...

On Hermitian Surfaces with J-Invariant Ricci (2009)

The Erwin, Schrödinger International Boltzmanngasse

We prove that a compact Hermitian surface with J-invariant Ricci tensor is Kähler provided that the difference of its scalar and conformal scalar curvature is constant. In particular, there are no...

isoperimetry of Gaussian type (2009)

The Erwin, Schrödinger International Boltzmanngasse, F. Barthe, B. Maurey, F. Barthe, B. Maurey, ...

We give a martingale proof of Gaussian isoperimetry, which also contains Bobkov’s inequality on the two-point space and its extension to non symmetric Bernoulli measures. We derive the equivalence...

LOCAL GEOMETRY OF SINGULAR REAL ANALYTIC SURFACES (2009)

The Erwin, Schrödinger International Boltzmanngasse, Daniel Grieser, Daniel Grieser

Abstract. Let V ⊂ R N be a compact real analytic surface with isolated singularities, and assume its smooth part V0 is equipped with a Riemannian metric that is induced from some analytic...

Available via anonymous ftp or gopher from FTP.ESI.AC.ATTHE COHOMOLOGY OF THE COMPLEX OF G-INVARIANT FORMS ON G-MANIFOLDS (2009)

The Erwin, Schrödinger International Boltzmanngasse, Mark V. Losik, M. V. Losik

Abstract. The cohomology of the complex of G-invariant forms for arbitrary G-manifolds and, especially for a certain class of G-manifolds, which are locally trivial fiber bundles over the orbit...

MULTIPLICITY ONE AND CLASSIFICATION OF AUTOMORPHIC REPRESENTATIONS (2009)

The Erwin, Schrödinger International Boltzmanngasse, Alexandru Ioan Badulescu, Alexandru Ioan Badulescu

with an Appendix by Neven GRBAC 2 Abstract: In this paper we generalize the local Jacquet-Langlands correspondence to all unitary irreducible representations. We prove the global Jacquet-Langlands...

Available via anonymous ftp or gopher from FTP.ESI.AC.ATBASIC DIFFERENTIAL FORMS FOR ACTIONS OF LIE GROUPS (2009)

The Erwin, Schrödinger International Boltzmanngasse, Peter W. Michor, Peter W. Michor

Abstract. A section of a Riemannian G-manifold M is a closed submanifold Σ which meets each orbit orthogonally. It is shown that the algebra of G-invariant differential forms on M which are...

and multiplicative Nambu-Poisson structures (2009)

The Erwin, Schrödinger International Boltzmanngasse, J. Grabowski, G. Marmo, J. Grabowski, 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...

the Vortex Motion Law of the Nonlinear Schrödinger Equation (2009)

The Erwin, Schrödinger International Boltzmanngasse, F-h Lin, J. X. Xin, F-h Lin, J. X. Xin

The nonlinear Schrödinger equation (NLS) has been a fundamental model for understanding vortex motion in superfluids. The vortex motion law has been formally derived on various physical grounds and...

Poisson Brackets of Wilson Loops and Derivations of Free Algebras (2009)

The Erwin, Schrödinger International Boltzmanngasse, S. G. Rajeev, O. T. Turgut, S. G. Rajeev, O. T. Turgut

We describe a finite analogue of the Poisson Algebra of Wilson Loops in Yang–Mills theory. It is shown that this algebra arises in an apparently completely different context: as a Lie algebra of...

Classroom proof of the density theorem for (2009)

The Erwin, Schrödinger International Boltzmanngasse, Gabor Systems

In this note we present a short and easy proof of the density theorem for Gabor systems (g, a, b): (i) when (g, a, b) is a Gabor frame we have ab ≤ 1, (ii) when (g, a, b) is a Riesz-Gabor basis we...

Spin Foam Quantization and Anomalies (2009)

The Erwin, Schrödinger International Boltzmanngasse, Martin Bojowald, Alejandro Perez, Martin Bojowald, Ro Perez

The most common spin foam models of gravity are widely believed to be discrete path integral quantizations of the Plebanski action. However, their derivation in present formulations is incomplete and...

RANDOM WALKS (2009)

The Erwin, Schrödinger International Boltzmanngasse, Klaus Schmidt, Klaus Schmidt

Dedicated to Mike Keane on the occasion of his 65th birthday Abstract. We survey distributional properties of R d-valued cocycles of finite measure preserving ergodic transformations (or,...

POLYNOMIAL? (2009)

The Erwin, Schrödinger International Boltzmanngasse, Manfred Einsiedler, Selim Tuncel

Abstract. We use Gröbner bases and a theorem of Handelman to show that an ideal I of R[x1,..., xk] contains a polynomial with positive coefficients if and only if no initial ideal inv(I), v ∈ R k,...

COHOMOLOGIE AUTOMORPHE ET (2009)

The Erwin, Schrödinger International Boltzmanngasse, Henri Carayol, Compactifications Partielles De, Certaines Variétés, Henri Carayol

We study some automorphic cohomology classes of degree one on the Griffiths-Schmid varieties attached to some unitary groups in 3 variables. Using partial compactifications of those varieties,...

Markov Operators and the Nevo–Stein Theorem (2009)

The Erwin, Schrödinger International Boltzmanngasse, Alexander Bufetov, Alexander Bufetov

,..., a−1 m. Let C(n) be the sphere of radius n in our group, that is, C(n) = {g ∈ Fm: |g | = n}. C(n) has (2m)(2m − 1) n−1 elements. For g ∈ Fm, let Tg be the transformation corresponding...

Supported by the Austrian Federal Ministry of Education, Science and Culture (2009)

The Erwin, Schrödinger International Boltzmanngasse, Giovanni Landi, Elmar Wagner, Giovanni L, Elmar Wagner

We construct spectral triples on all Podle´s quantum spheres S 2 qt. These noncommutative geometries are equivariant for a left action of Uq(su(2)) and are regular, even and of metric dimension 2....

Supported by Federal Ministry of Science and Research, Austria (2009)

The Erwin, Schrödinger International Boltzmanngasse, Douglas Lind, Klaus Schmidt, Douglas Lind, Klaus Schmidt

Abstract. Let α be an action of Z d by continuous automorphisms of a compact abelian group X. A point x in X is called homoclinic for α if α n x → 0X as ‖n ‖ → ∞. We study the set...

Supported by the Austrian Federal Ministry of Education, Science and Culture (2009)

The Erwin, Schrödinger International Boltzmanngasse, M. Burić, J. Madore, M. Burić, J. Madore

A review is given of some 2-dimensional metrics for which noncommutative versions have been found. They serve partially to illustrate a noncommutative extension of the moving-frame formalism.

and the Bethe Ansatz for the elliptic Hitchin systems (2009)

The Erwin, Schrödinger International Boltzmanngasse, Fernando Falceto, Fernando Falceto

We work out finite-dimensional integral formulae for the scalar product of genus one states of the group G Chern-Simons theory with insertions of Wilson lines. Assuming convergence of the integrals,...

UWThPh-2007-4 Induced Gauge Theory on a Noncommutative Space (2009)

The Erwin, Schrödinger International Boltzmanngasse, Harald Grosse, Michael Wohlgenannt, Harald Grosse, Michael Wohlgenannt

We consider a scalar φ4 theory on canonically deformed Euclidean space in 4 dimensions with an additional oscillator potential. This model is known to be renormalisable. An exterior gauge field is...

HOMOGENEOUS CURVES (2009)

The Erwin, Schrödinger International Boltzmanngasse, Boris Doubrov, Boris Doubrov

Abstract. We study the conditions when locally homogeneous curves in homogeneous spaces admit a natural projective parameter. In particular, we prove that this is always the case for trajectories of...

PENROSE TRANSFORM AT FLAG DOMAINS (2009)

The Erwin, Schrödinger International Boltzmanngasse, Simon Gindikin, Simon Gindikin

It is a great pleasure for me to talk at this conference in Roger’s honor on the Penrose transform with which I have been friends for the last 18 years of my mathematical life. I chose to talk...

Supported by the Austrian Federal Ministry of Education, Science and Culture (2009)

The Erwin, Schrödinger International Boltzmanngasse, Marius Crainic, Rui Loja Fernandes, Marius Crainic, ...

Abstract. We show that various notions of integrability for Poisson brackets are all equivalent, and we give the precise obstructions to integrating Poisson manifolds. We describe the integration as...

in Jacobi polynomials and (2009)

The Erwin, Schrödinger International Boltzmanngasse, Yu. A. Neretin

vector valued hypergeometric orthogonal bases Neretin Yu.A. §1. Representation-theoretic motivation and formulation of results. 1.1. Continuous analogs of expansion in Jacobi polynomials. The...

ON THE STABILITY OF CONSTRAINT PROPAGATION (2009)

The Erwin, Schrödinger International Boltzmanngasse, J. Frauendiener, T. Vogel, J. Frauendiener, T. Vogel

ABSTRACT. The divergence of the constraint quantities is a major problem in computational gravity today. Apparently, there are two sources for constraint violations. The use of boundary conditions...

ON AFFINE AND RIEMANNIAN MANIFOLDS (2009)

The Erwin, Schrödinger International Boltzmanngasse, Michael Eastwood, Michael Eastwood

According to folklore (a precise criterion in the language of exterior differential systems may be found in [2]), a generic overdetermined partial differential equation may be rewritten as a first...

ON CERTAIN PERIOD RELATIONS FOR CUSP FORMS ON GLn (2009)

The Erwin, Schrödinger International Boltzmanngasse, A. Raghuram, Freydoon Shahidi, A. Raghuram, Freydoon Shahidi

Abstract. Let π be a regular algebraic cuspidal automorphic representation of GLn(AF) for a number field F. We consider certain periods attached to π. These periods were originally defined by...

TANGENT LIFTS OF POISSON AND RELATED STRUCTURES (2009)

The Erwin, Schrödinger International Boltzmanngasse, Janusz Grabowski, J Grabowski, P Urbański

Abstract. The derivation d T on the exterior algebra of forms on a manifold M with values in the exterior algebra of forms on the tangent bundle T M is extended to multivector fields. These tangent...

THE GROUND STATE OF THE BOSE GAS (2009)

The Erwin, Schrödinger International Boltzmanngasse, E. H. Lieb, R. Seiringer, J. P. Solovej, J. Yngvason, ...

Abstract. Now that the low temperature properties of quantum-mechanical many-body systems (bosons) at low density, ρ, can be examined experimentally it is appropriate to revisit some of the formulas...

THE ∂-EQUATION AND BERGMAN SPACES (2009)

The Erwin, Schrödinger International Boltzmanngasse, Friedrich Haslinger, Friedrich Haslinger

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...

Condensation ⋆ (2009)

The Erwin, Schrödinger International Boltzmanngasse, Robert Seiringer, Robert Seiringer

The recent experimental success in creating Bose-Einstein condensates of alkali atoms, honored by the Nobel prize awards in 2001 [1, 5], led to renewed interest in the mathematical description of...

Supported by Federal Ministry of Science and Research, Austria (2009)

The Erwin, Schrödinger International Boltzmanngasse, J. Grabowski, G. Marmo, A. Perelomov, A. Simoni, ...

The algebra of vector fields on a circle plays an important role in connection with bosonic string. A central extension of it gives the celebrated Virasoro algebra. It also provides us with a good...

Supported by the Austrian Federal Ministry of Education, Science and Culture (2009)

The Erwin, Schrödinger International Boltzmanngasse, Olga Maleva, Olga Maleva

Abstract. We prove that every separable metric space which admits an ℓ1tree as a Lipschitz quotient, has a σ-porous subset which contains every Lipschitz curve up to a set of 1-dimensional...

functions I (2009)

The Erwin, Schrödinger International Boltzmanngasse, M. Kunzinger, R. Steinbauer, E. Farkas, M. Grosser, ...

Abstract. We construct a diffeomorphism invariant (Colombeau-type) differential algebra canonically containing the space of distributions in the sense of L. Schwartz. Employing differential calculus...

AND QUANTUM STATISTICAL MECHANICS (2009)

The Erwin, Schrödinger International Boltzmanngasse, Paula B. Cohen, Paula B. Cohen

In 1859 Riemann published an important foundational paper on the Riemann zeta function. Recall that this function is given for Re(s)> 1 by ζ(s) = and that it has a continuation to all the complex...

BALANCING SELECTION, RECOMBINATION RATE AND POLYMORPHISM: A COMMENTARY (2009)

The Erwin, Schrödinger International Boltzmanngasse, V. M. Kirzhner, A. V. Ryndin, E. Nevo, A. B. Korol, ...

Producing new genetic variation is considered one of the major functions of recombination assisting in adaptation to environmental changes. All other things being equal, genetic variance in a sexual...

Supported by Federal Ministry of Science and Transport, Austria (2009)

The Erwin, Schrödinger International Boltzmanngasse, Evgeni Korotyaev, Evgeni Korotyaev

Abstract. Consider the Hill operator T = −d2 /dx2 + q(x) on L2 (R), where q ∈ L2 (0, 1) is a 1-periodic real potential and ∫ 1 0 q(x)dx = 0. The spectrum of T is absolutely continuous and...

Available via anonymous ftp or gopher from FTP.ESI.AC.ATTHE LOCAL STRUCTURE OF SOME COMPLEX POISSON BRACKETS (2009)

The Erwin, Schrödinger International Boltzmanngasse, Andriy Panasyuk, Andriy Panasyuk

Abstract. We consider structures of complex Poisson brackets on the space of C ∞-functions on complex 2n-dimensional manifold generated by ∂-closed non-degenerate (2, 0)-form (with...

C ∗ Dynamical Systems that Asymptotically are Highly Anticommutative (2009)

The Erwin, Schrödinger International Boltzmanngasse, Heide Narnhofer, Walter Thirring, H. Narnhofer, W. Thirring, ...

for Mathematical Physics It is shown that with probability 1 on Θ resp. on gX the irrational rotation algebra MΘ with respect to the CAT map and the generalized Price–Powers shift AX are...

UNIQUE EXPANSIONS OF REAL NUMBERS (2009)

The Erwin, Schrödinger International Boltzmanngasse, Martijn De Vries, Vilmos Komornik, Martijn De, ...

Abstract. It was discovered some years ago that there exist non-integer real numbers q> 1 for which only one sequence (ci) of integers 0 ≤ ci < q satisfies the equality P ∞ i=1 ciq −i =...

On adelic model of boson Fock space (2009)

The Erwin, Schrödinger International Boltzmanngasse

Neretin Yu.A. 1 We construct a canonical embedding of the Schwartz space on R n to the space of distributions on the adelic product of all the p-adic numbers. This map is equivariant with respect to...

THE EXTENSION THEOREM (2009)

The Erwin, Schrödinger International Boltzmanngasse, Nikolai P. Dolbilin, Nikolai P. Dolbilin

To Ludwig Danzer on the occasion of his 70th birthday Given a compact convex polyhedron, can it tile space in a transitive (or in a regular) way? We discuss in the paper the so-called extension...

REAL INTEGRAL GEOMETRY AND COMPLEX ANALYSIS (2009)

The Erwin, Schrödinger International Boltzmanngasse, Simon Gindikin, Simon Gindikin

In these three lectures I will talk about three variations of the Radon transform. We start with the projective Radon transform ( Lecture 1). The projective view gives the possibility to see that the...

Hard Ball Systems Are Fully Hyperbolic (2009)

The Erwin, Schrödinger International Boltzmanngasse, Nándor Simányi, Domokos Szász, Nándor Simányi, Domokos Szász

Abstract. We consider the system of N ( ≥ 2) elastically colliding hard balls with masses m1,..., mN, radius r, moving uniformly in the flat torus T ν L = Rν /L · Z ν, ν ≥ 2. It is proved...

Principal fibrations from noncommutative spheres (2009)

The Erwin, Schrödinger International Boltzmanngasse, Giovanni Landi, Walter Van Suijlekom, Giovanni L, Walter Van Suijlekom

We construct noncommutative principal fibrations S7 θ → S4 θ which are deformations of the classical SU(2) Hopf fibration over the four sphere. We realize the noncommutative vector bundles...

hep-th/0007154 Ramond-Ramond Flux Stabilization of D-Branes 1 (2009)

The Erwin, Schrödinger International Boltzmanngasse, Jacek Pawe̷lczyk A

In AdSn × Sm threaded by N-units of Ramond-Ramond flux, the dynamics of a Dm-brane wrapped partially on Sm−1 ⊂ Sm is investigated. Under the condition that flux of the dual gauge field on the...

Max-Planck-Institut für Mathematik (2009)

The Erwin, Schrödinger International Boltzmanngasse, Claude Lebrun, Shin Nayatani, Takashi Nitta, Positive Ricci Curvature, ...

We prove that the connected sums CP2#CP2 and CP2#CP2#CP2 admit self-dual metrics with positive Ricci curvature. Moreover, every self-dual metric of positive scalar curvature on CP2#CP2 is conformal...

Cohomology and Topological Anomalies (2009)

The Erwin, Schrödinger International Boltzmanngasse, C. Ekstrand

The chiral anomaly can be considered as an object defined 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...

On a Super–Analog of the Schur–Weyl Duality (2009)

The Erwin, Schrödinger International Boltzmanngasse, A. M. Borodin, N. A. Rozhkovskaya

Abstract. Two super-analogs of the Schur-Weyl duality are considered: the actions of the Lie superalgebra gl(m, n) and the symmetric group SN and also of the Lie superalgebra Q(n) and certain finite...

on graphs and certain Jacobi matrices (2009)

The Erwin, Schrödinger International Boltzmanngasse, Pavel Exner, Pavel Exner

Abstract: The known correspondence between the Kronig–Penney model and certain Jacobi matrices is extended to a wide class of Schrödinger operators on graphs. Examples include rectangular lattices...

Conditional Expectation and Half–sided Translations (2009)

The Erwin, Schrödinger International Boltzmanngasse, H. J. Borchers, H. J. Borchers

The relations between conditional expextations and half–sided translations and half–sided modular inclusions will be investigated. 1. Introduction and

CHAOS IN TRAVELING WAVES OF LATTICE SYSTEMS OF UNBOUNDED MEDIA (2009)

The Erwin, Schrödinger International Boltzmanngasse, D. R. Orendovici, Ya. B. Pesin, D. R. Orendovici, Ya. B. Pesin

Abstract. We describe coupled map lattices (CML) of unbounded media corresponding to some well-known evolution partial differential equations (including reaction-diffusion equation,...

The Boltzmann-Sinai Ergodic Hypothesis for Hard Ball Systems (2009)

The Erwin, Schrödinger International Boltzmanngasse, Nándor Simányi, Domokos Szász, Nándor Simányi, Domokos Szász

Abstract. We consider the system of N ( ≥ 2) elastically colliding hard balls with masses m1,..., mN moving uniformly in the flat unit torus T ν, ν ≥ 3. It is proved here that the arising...

Supported by Federal Ministry of Science and Transport, Austria (2009)

The Erwin, Schrödinger International Boltzmanngasse, Joan Verdera, Joan Verdera

17 de juny de 1998 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...

Supported by the Austrian Federal Ministry of Education, Science and Culture (2009)

The Erwin, Schrödinger International Boltzmanngasse, S. P. Gavrilov, D. M. Gitman, A. A. Smirnov, S. P. Gavrilov, ...

2003 Various Green functions of the Dirac equation with a magnetic-solenoid field (the superposition of the Aharonov-Bohm field and a collinear uniform magnetic field) are constructed and studied....

Coulomb gas representation of the SU(2) WZW correlators at higher genera (2009)

The Erwin, Schrödinger International Boltzmanngasse

Available via anonymous ftp or gopher from FTP.ESI.AC.ATCoulomb gas representation of the SU(2) WZW correlators at higher genera Krzysztof Gaw¸edzki

ON THE GLOBAL GROSS-PRASAD CONJECTURE FOR YOSHIDA LIFTINGS (2009)

The Erwin, Schrödinger International Boltzmanngasse, For Yoshida Liftings, Siegfried Böcherer, Masaaki Furusawa, Rainer Schulze-pillot, ...

In two articles in the Canadian Journal [16, 17], B. Gross and D. Prasad proclaimed a global conjecture concerning the decomposition of an automorphic representation of an adelic special orthogonal...

Supported by Federal Ministry of Science and Research, Austria Available via anonymous ftp or gopher from FTP.ESI.AC.ATPure spinors in odd dimensions (2009)

The Erwin, Schrödinger International Boltzmanngasse, Wojciech Kopczyński, Wojciech Kopczyński, Instytut Fizyki Teoretycznej, Uniwersytet Warszawski

Abstract: The paper [1] contains description of pure (simple) spinors in a complex vector space; this particularly simple approach uses extensively Fock bases of the underlying vector space. The...

EQUATIONS (2009)

The Erwin, Schrödinger International Boltzmanngasse, Lars Andersson, Vincent Moncrief, Lars Andersson, Vincent Moncrief

Abstract. The Einstein evolution equations are studied in a gauge given by a combination of the constant mean curvature and spatial harmonic coordinate conditions. This leads to a coupled quasilinear...

Multiplicative Structures of 2-dimensional Topological Quantum Field Theory 1 (2009)

The Erwin, Schrödinger International Boltzmanngasse, S. S. Moskaliuk, A. T. Vlassov, S. S. Moskaliuk, A. T. Vlassov

Category theory provides a uniform method of encoding mathematical structures and universal constructions with them. In this article we apply the method of additional structures on the objects of a...

Photon inner-product and the Gauss linking number (2009)

The Erwin, Schrödinger International Boltzmanngasse, Abhay Ashtekar, Alejandro Corichi, Abhay Ashtekar, Ro Corichi

It is shown that there is an interesting interplay between selfduality, loop representation and knot invariants in the quantum theory of Maxwell fields in Minkowski space-time. Specifically, in the...

ESI (2009)

The Erwin, Schrödinger International Boltzmanngasse, W. Kummer, D. V. Vassilevich, W. Kummer, D. V. Vassilevich

Renormalizability of the open string sigma model and emergence of D–branes

Behavior of Einstein-Rosen Waves at null infinity (2009)

The Erwin, Schrödinger International Boltzmanngasse, Abhay Ashtekar, Bernd G. Schmidt, Abhay Ashtekar, Bernd G. Schmidt

The asymptotic behavior of Einstein-Rosen waves at null infinity in 4 dimensions is investigated in all directions by exploiting the relation between the 4-dimensional space-time and the...

Available via anonymous ftp or gopher from FTP.ESI.AC.ATON THE LIEB-THIRRING ESTIMATES FOR THE PAULI OPERATOR (2009)

The Erwin, Schrödinger International Boltzmanngasse, Alexander V. Sobolev, A. V. Sobolev

Abstract. We establish Lieb-Thirring type estimates for the sums ∑ k |λk | γ of the negative eigenvalues λk of the two-dimensional Pauli operator with a non-homogeneous magnetic field perturbed...

We are concerned here with the operators (2009)

The Erwin, Schrödinger International Boltzmanngasse, David S. Tartakoff, David S. Tartakoff

We give a new and very simple proof of the local analytic hypoellipticity of some partial differential operators studied by Matzusawa in [3] and their generalizations. These include the operator ( )...

Supported by the Austrian Federal Ministry of Education, Science and Culture (2009)

The Erwin, Schrödinger International Boltzmanngasse, Sorin Dragomir, Seiki Nishikawa, Sorin Dragomir, Seiki Nishikawa

We study foliations 1 on CR manifolds and show the following 2. 1) For a strictly pseudoconvex CR manifold M, the relationship between a foliation F on M and its pullback π ∗ F on the total space...

Nodal Domain Theorems à la Courant. (2009)

The Erwin, Schrödinger International Boltzmanngasse, A. Ancona, B. Helffer, T. Hoffmann-ostenhof, A. Ancona, ...

Let H(Ω0) = − ∆ + V be a Schrödinger operator on a bounded domain Ω0 ⊂ R d with Dirichlet boundary conditions. Suppose that the Ωℓ (ℓ ∈ {1,..., k}) are some pairwise disjoint...

Available via anonymous ftp or gopher from FTP.ESI.AC.ATDISCRETE SPECTRUM ASYMPTOTICS FOR THE SCHRÖDINGER OPERATOR WITH A SINGULAR POTENTIAL AND A MAGNETIC FIELD (2009)

The Erwin, Schrödinger International Boltzmanngasse, A. V. Sobolev, A. V. Sobolev

Abstract. Object of the study is the operator H = H 0(h, µ) + V in L2 (Rd), d ≥ 2, where H0(h, µ) is the Schrödinger operator with a magnetic field of intensity µ ≥ 0 and the Planck constant...

AN ALGEBRAIC INVARIANT FOR SUBSTITUTION TILING SYSTEMS by (2009)

The Erwin, Schrödinger International Boltzmanngasse, Charles Radin, Lorenzo Sadun, Charles Radin, 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...

On (2009)

The Erwin, Schrödinger International Boltzmanngasse, Dimitry Leites, Dimitry Leites A

unconventional integrations and cross ratio on supermanifolds

Supported by the Austrian Federal Ministry of Education, Science and Culture (2009)

The Erwin, Schrödinger International Boltzmanngasse, Michael Baake, Uwe Grimm, Michael Baake, Uwe Grimm

Abstract. The radial distribution function is a characteristic geometric quantity of a point set in Euclidean space that reflects itself in the corresponding diffraction spectrum and related objects...

THE MAGNUS FORCE ON SKYRMIONS IN FERROMAGNETS AND QUANTUM HALL SYSTEMS (2009)

The Erwin, Schrödinger International Boltzmanngasse, Michael Stone, Michael Stone

The topological solitons, or “skyrmions”, in a planar ferromagnet experience a Magnus force proportional to the product of their velocity and the surrounding magnetization. It has been suggested...

HOMOGENEOUS MANIFOLDS (2009)

The Erwin, Schrödinger International Boltzmanngasse, Dmitry V. Alekseevsky, Andrea F. Spiro, Dmitry V. Alekseevsky, Andrea F. Spiro

Abstract. 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...

Resolving Markov chains onto Bernoulli shifts (2009)

The Erwin, Schrödinger International Boltzmanngasse, Brian Marcus, Selim Tuncel, Brian Marcus, Selim Tuncel

It is well known from Ornstein’s isomorphism theory [FO, O] that entropy is a complete invariant of measure-theoretic isomorphism for mixing Markov chains. In that result the isomorphism is a...

Program for Evolutionary Dynamics, Harvard University Address for correspondence: (2009)

The Erwin, Schrödinger International Boltzmanngasse, Reinhard Bürger, Reinhard Bürger, Reinhard Bürger

The equilibrium structure of an additive, diallelic multilocus model of a quantitative trait under frequency- and density-dependent selection is derived. The trait is under stabilizing selection and...

Quasi-Einstein Kähler Metrics ∗ (2009)

The Erwin, Schrödinger International Boltzmanngasse, Henrik Pedersen, Galliano Valent, Henrik Pedersen, Galliano Valent

We write an ansatz for quasi-Einstein Kähler metrics and construct new complete examples. Moreover, we construct new compact generalized quasi-Einstein Kähler metrics on some ruled surfaces,...

AND TO LOGARITHMIC SOBOLEV INEQUALITIES (2009)

The Erwin, Schrödinger International Boltzmanngasse, S. G. Bobkov, M. Ledoux, S. G. Bobkov, M. Ledoux

Abstract. — We develop several applications of the Brunn-Minkowki inequality in the Prékopa-Leindler form. In particular, we show that an argument of B. Maurey may be adapted to deduce from the...

and (2009)

The Erwin, Schrödinger International Boltzmanngasse, D. V. Alekseevsky, A. M. Perelomov, D. V. Alekseevsky, A. M. Perelomov

1 Poisson brackets on a Lie algebra 1.1 The Schouten bracket in the space of polyvectors and Poisson bivectors 1.2 Poisson brackets induced by Poisson bivector on a G-manifold

Supported by Federal Ministry of Science and Research, Austria (2009)

The Erwin, Schrödinger International Boltzmanngasse, Evgeni Korotyaev

Abstract. Let H be the Hill operator and let Gn = (A − n, A + n) and M ± n, n ≥ 1, be the corresponding gaps and the effective masses for the Hill operator. Denote by F (E) the Lyapunov function...

CGPG–01/12–1 Poisson Geometry in Constrained Systems (2009)

The Erwin, Schrödinger International Boltzmanngasse, Martin Bojowald, Thomas Strobl, Martin Bojowald A, Thomas Strobl B

Associated to a constrained system with closed constraint algebra there are two Poisson manifolds P and Q forming a symplectic dual pair with respect to the original, unconstrained phase space: P is...

ON THE STRUCTURE OF WEIGHT MODULES (2009)

The Erwin, Schrödinger International Boltzmanngasse, Ivan Dimitrov, Olivier Mathieu, Ivan Penkov, Ivan Dimitrov, ...

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...

of the Self-Duality Equations (2009)

The Erwin, Schrödinger International Boltzmanngasse, J. Tafel, D. Wójcik, J. Tafel, D. Wójcik

Abstract. We find all null conformal Killing vectors in R 4 with the metric dtdu − dxdy. We classify 1 and 2-dimensional totally null algebras generated by such vectors. Reductions of the self-dual...

ESI (2009)

The Erwin, Schrödinger International Boltzmanngasse, S. N. Melikhov, S. Momm

Analytic solutions of convolution equations on convex sets with an obstacle in the boundary

Supported by Federal Ministry of Science and Transport, Austria (2009)

The Erwin, Schrödinger International Boltzmanngasse, Maciej Dunajski, Lionel J. Mason, Maciej Dunajski, Lionel J. Mason

A twistor construction of the hierarchy associated with the hyper-Kähler equations on a metric (the anti-self-dual Einstein vacuum equations, ASDVE, in four dimensions) is given. The recursion...

OF A QUATERNIONIC KÄHLER MANIFOLD (2009)

The Erwin, Schrödinger International Boltzmanngasse, D. V. Alekseevsky, S. Marchiafava, D. V. Alekseevsky, S. Marchiafava

Abstract. 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...

in Poisson geometry and Lie algebroid theory (2009)

The Erwin, Schrödinger International Boltzmanngasse, Yvette Kosmann-schwarzbach, Yvette Kosmann-schwarzbach

Motivated by questions from quantum group and field theories, we review structures on manifolds that are weaker versions of Poisson structures, and variants of the notion of Lie algebroid. We give a...

Theory of ̂ sl2 at a Rational Level (2009)

The Erwin, Schrödinger International Boltzmanngasse, Boris Feigin, Feodor Malikov, Boris Feigin, Feodor Malikov

We define a new modular functor based on Kac-Wakimoto admissible representations and the corresponding D−module on the moduli space of rank 2 vector bundles with parabolic structure. A new fusion...

Momentum Maps and Morita Equivalence (2009)

The Erwin, Schrödinger International Boltzmanngasse, Ping Xu, Ping Xu

We introduce quasi-symplectic groupoids and explain their relation with momentum map theories. This approach enables us to unify into a single framework various momentum map theories, including the...

for Generalized Solutions (2009)

The Erwin, Schrödinger International Boltzmanngasse, M. Oberguggenberger, M. Oberguggenberger

Abstract: 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...

Translational tilings of the integers with long periods (2009)

The Erwin, Schrödinger International Boltzmanngasse, Mihail N. Kolountzakis, Mihail N. Kolountzakis

Suppose that A ⊆ Z is a £nite set of integers of diameter D = max A − min A. Suppose also that B ⊆ Z is such that A ⊕ B = Z, that is each n ∈ Z is uniquely expressible as a + b, a ∈ A, b...

Supported by Federal Ministry of Science and Research, AustriaA CRITERION FOR ESSENTIAL (2009)

The Erwin, Schrödinger International Boltzmanngasse, B. Thaller

Abstract. We prove some simple facts on the essential self-adjointness of a symmetric operator T in a Hilbert space H. The main tools are bounded commutators of T with a suitable sequence of bounded...

Supported by Federal Ministry of Science and Transport, Austria (2009)

The Erwin, Schrödinger International Boltzmanngasse, S. Pilipović, D. Scarpalezos, S. Pilipović, ...

We give necessary and sufficient conditions for a regularized net of a distribution in an open set Ω which imply that this distribution is a smooth function or C k function in Ω. We give also...

MODULI SPACE AND STRUCTURE OF NONCOMMUTATIVE 3-SPHERES (2009)

The Erwin, Schrödinger International Boltzmanngasse, Alain Connes, Michel Dubois-violette, Alain Connes, Michel Dubois-violette

We analyse the moduli space and the structure of noncommutative 3-spheres. We develop the notion of central quadratic form for quadratic algebras, and prove a general algebraic result which...

ON THE COMBINATORIAL ASPECTS OF MAX-ALGEBRA (2009)

The Erwin, Schrödinger International Boltzmanngasse, Peter Butkovič, Peter Butkovi Č

Abstract. Let a ⊕ b = max(a, b), a ⊗ b = a + b for a, b ∈ R: = R ∪ {−∞}. By max-algebra we understand the analogue of linear algebra developed for the pair of operations (⊕, ⊗)...

∂t 2πi (2009)

The Erwin, Schrödinger International Boltzmanngasse, K. I. Oskolkov

K.I.OSKOLKOV Abstract. The probability density function |ψ(f) | 2 is studied for the one-dimensional quantum particle whose motion is defined by the Schrödinger equation ∂ψ 1 ∂

DISPERSING COCYCLES AND MIXING FLOWS UNDER FUNCTIONS (2009)

The Erwin, Schrödinger International Boltzmanngasse, Klaus Schmidt, Klaus Schmidt

Abstract. Let T be a measure-preserving and mixing action of a countable abelian group G on a probability space (X, S, µ) and A a locally compact second countable abelian group. A cocycle c: G × X...

Supported by Federal Ministry of Science and Transport, Austria (2009)

The Erwin, Schrödinger International Boltzmanngasse, Joan Simón, Joan Simón

Abstract. We study generalised supersymmetric fluxbranes in type II string theory obtained as Kaluza–Klein reductions of the Minkowski space vacuum of eleven-dimensional supergravity. We obtain a...

ESI (2009)

The Erwin, Schrödinger International Boltzmanngasse, Ping Xu, Ping Xu

Dedicated to Rencontres Mathématiques de Glanon on the occasion of her fifth birthday Dirac submanifolds are a natural generalization in the Poisson category for symplectic submanifolds of a...

A SUFFICIENT CONDITION FOR GLOBAL REGULARITY OF THE ∂-NEUMANN OPERATOR (2009)

The Erwin, Schrödinger International Boltzmanngasse, Emil J. Straube, Emil J. Straube

Abstract. A theory of global regularity of the ∂-Neumann operator is developed which unifies the two principal approaches to date, namely the one via compactness due to Kohn-Nirenberg [26] and...

E(3, 6) II: FOUR SERIES OF DEGENERATE MODULES. (2009)

The Erwin, Schrödinger International Boltzmanngasse, Victor G. Kac, Alexei Rudakov, Victor G. Kac, Alexei Rudakov

Abstract. Four Z+-bigraded complexes with the action of the exceptional infinitedimensional Lie superalgebra E(3, 6) are constructed. We show that all the images and cokernels and all but three...

Supported by the Austrian Federal Ministry of Education, Science and Culture (2009)

The Erwin, Schrödinger International Boltzmanngasse, Geert Jan Olsder, Jacob Van, Der Woude, ...

Abstract. In this paper we concentrate on processes consisting of events on which constraints are put on the order in which the individual events can take place. We ask ourselves the question if the...

Supported by the Austrian Federal Ministry of Education, Science and Culture (2009)

The Erwin, Schrödinger International Boltzmanngasse, B. Krön, B. Kr Ön

Abstract. Geometric properties of self-similar graphs concerning their volume growth and distances in certain finite subgraphs are discussed. The length scaling factor ν and the volume scaling...

MOMENT SETS AND CHARACTERISTIC VARIETIES (2009)

The Erwin, Schrödinger International Boltzmanngasse, Ali Baklouti, Ali Baklouti

Abstract. We present in this paper two dequantization procedures of coadjoint orbits in the setting of exponential solvable Lie groups. The first one consists in considering generalized moment sets...

Supported by Federal Ministry of Science and Transport, Austria (2009)

The Erwin, Schrödinger International Boltzmanngasse, H. Baumgaertel, A. L. Carey, H. Baumgaertel, A. L. Carey

The paper contains constructions of Hilbert systems for the action of the circle group T using subgroups of implementable Bogoljubov unitaries w.r.t. Fock representations of the Fermion algebra for...

Supported by the Austrian Federal Ministry of Education, Science and Culture (2009)

The Erwin, Schrödinger International Boltzmanngasse, Marie-line Chabanol, Jean Duchon, Marie-line Chabanol, Jean Duchon

Abstract. For solutions of (inviscid, forceless, one dimensional) Burgers equation with random initial condition, it is heuristically shown that a stationary Feller-Markov property (with respect to...

FOR THE N-PARTICLE SCHRÖDINGER OPERATOR D.Yafaev ∗ (2009)

The Erwin, Schrödinger International Boltzmanngasse, D. Yafaev

Eigenfunctions of the continuous spectrum for the N-particle Schrödinger operator

COMPUTATION OF SOME EXAMPLES OF BROWN’S SPECTRAL MEASURE IN FREE PROBABILITY (2009)

The Erwin, Schrödinger International Boltzmanngasse, Franz Lehner, Philippe Biane, Franz Lehner

ABSTRACT. We use free probability techniques for computing spectra and Brown measures of some non hermitian operators in finite von Neumann algebras. Examples include un+u ∞ where un and u ∞ are...

Part 1. General Picture of the Asynchronous Zero Temperature Dynamics. (2009)

The Erwin, Schrödinger International Boltzmanngasse, V. A. Malyshev, V. A. Malyshev, F. M. Spieksma

We rigorously define and study the limiting dynamics for Pastur-Figotin-Hopfield models of neural networks with N nodes and p patterns in the (thermodynamic) limit N → ∞, p ≡ const. We study...

Induced Gauge Theory on a Noncommutative Space (2009)

The Erwin, Schrödinger International Boltzmanngasse, Michael Wohlgenannt, Michael Wohlgenannt

Abstract. We discuss the calculation of the 1-loop effective action on four dimensional, canonically deformed Euclidean space. The theory under consideration is a scalar φ 4 model with an additional...

WEIGHTED BERGMAN KERNELS AND QUANTIZATION (2009)

The Erwin, Schrödinger International Boltzmanngasse

Abstract. Let Ω be a bounded pseudoconvex domain in C N, φ, ψ two positive functions on Ω such that − log ψ, − log φ are plurisubharmonic, z ∈ Ω a point at which − log φ is smooth...

Supported by the Austrian Federal Ministry of Education, Science and Culture (2009)

The Erwin, Schrödinger International Boltzmanngasse, Wenchang Sun, Wenchang Sun

Abstract. G-frames are natural generalizations of frames which cover many other recent generalizations of frames, e.g., bounded quasi-projectors, frames of subspaces, outer frames, oblique frames,...

INDUCED REPRESENTATIONS OF CAYLEY–KLEIN ORTHOGONAL GROUPS (2009)

The Erwin, Schrödinger International Boltzmanngasse, N. A. Gromov, S. S. Moskaliuk, N. A. Gromov, S. S. Moskaliuk

Using method of inducing, irreducible unitary representation of Cayley–Klein orthogonal groups were constructed. There was proved that Kirilov’s method of orbits is relevant for study of the...

hep-th/9805085 A Treatment of the Schwinger Model within Noncommutative Geometry (2009)

The Erwin, Schrödinger International Boltzmanngasse, H. Grosse, H. Grosse

We describe a free spinor field on a noncommutative sphere starting from a canonical realization of the algebra U(u(2|1)) and a sequence of su(2)-invariant embeddings of su(2) representations. The...

math.QA/yymmnnn (2007)

The Erwin, Schrödinger International Boltzmanngasse, Stanislav Pakuliak, Vladimir Rubtsov, Alexey Silantyev, Stanislav Pakuliak, ...

In memory of Leonid Vaksman In this paper we discuss classical elliptic current algebras and show that there are two different choices of commutative test function algebras on a complex torus leading...

Supported by the Austrian Federal Ministry of Education, Science and Culture (2007)

The Erwin, Schrödinger International Boltzmanngasse, Jani Lukkarinen, Herbert Spohn, Jani Lukkarinen, Herbert Spohn

We consider the energy current correlation function for the FPU-β lattice. For small non-linearity one can rely on kinetic theory. The issue reduces then to a spectral analysis of the linearized...

Supported by the Austrian Federal Ministry of Education, Science and Culture (2007)

The Erwin, Schrödinger International Boltzmanngasse, Stuart Armstrong, Stuart Armstrong

The aim of this paper and its sequel is to introduce and classify the holonomy algebras of the projective Tractor connection. After a brief historical background, this paper presents and analyses the...

HYPERELLIPTIC RIEMANN SURFACES (2007)

The Erwin, Schrödinger International Boltzmanngasse, Andrea Ferrario, Andrea Ferrario

Abstract. We derive the explicit form of the superpropagators in presence of general boundary conditions (coisotropic branes) for the Poisson Sigma Model. This generalizes the results presented in...

WITH FEW (2006)

The Erwin, Schrödinger International Boltzmanngasse, Few Automorphisms, Peter Ebenfelt, Bernhard Lamel, Dmitri Zaitsev, ...

Abstract. We introduce new biholomorphic invariants for real-analytic hypersurfaces in C2 and show how they can be used to show that a hypersurface possesses few automorphisms. We give conditions, in...

Dirac operators ∗ (2006)

The Erwin, Schrödinger International Boltzmanngasse, Jouko Mickelsson, Sylvie Paycha, Jouko Mickelsson, Sylvie Paycha

We provide local expressions for Chern-Weil type forms built from superconnections associated with families of Dirac operators previously investigated in [Sc] and later in [PS1]. When the underlying...

RESIDUALLY FINITE AMENABLE GROUPS AND THEIR ENTROPY (2006)

The Erwin, Schrödinger International Boltzmanngasse, Christopher Deninger, Klaus Schmidt, Christopher Deninger, Klaus Schmidt

Abstract. We prove an entropy formula for certain expansive actions of a countable discrete residually finite group Γ by automorphisms of compact abelian groups in terms of Fuglede-Kadison...

SUMMATION FORMULA (2006)

The Erwin, Schrödinger International Boltzmanngasse, Michael J. Schlosser, ...

Abstract. We deduce new q-series identities by applying inverse relations to certain identities for basic hypergeometric series. The identities obtained themselves do not belong to the hierarchy of...

COMPACTNESS OF THE SOLUTION OPERATOR TO ∂ IN WEIGHTED L2- SPACES. (2006)

The Erwin, Schrödinger International Boltzmanngasse, Friedrich Haslinger, Bernard Helffer, Friedrich Haslinger, Bernard Helffer

Abstract. In this paper we discuss compactness of the canonical solution operator to ∂ on weigthed L 2 spaces on C n. For this purpose we apply ideas which were used for the Witten Laplacian in the...

POSITIVITY AND LOWER BOUNDS TO THE DECAY OF THE ATOMIC ONE-ELECTRON DENSITY (2006)

The Erwin, Schrödinger International Boltzmanngasse, S. Fournais, T. Østergaard Sørensen, S. Fournais, M. Hoffmann-ostenhof, ...

Abstract. We investigate properties of the spherically averaged atomic one-electron density ˜ρ(r). For a ˜ρ which stems from a physical ground state we prove that ˜ρ> 0. We also give...

FOR GL2 OVER IMAGINARY QUADRATIC FIELDS (2006)

The Erwin, Schrödinger International Boltzmanngasse, Tobias Berger, Tobias Berger

Abstract. We study the arithmetic of Eisenstein cohomology classes (in the sense of G. Harder) for symmetric spaces associated to GL2 over imaginary quadratic fields. We prove in many cases a lower...

CONTINUOUS DESCENT METHODS IN BANACH SPACES (2006)

The Erwin, Schrödinger International Boltzmanngasse, Sergiu Aizicovici, Simeon Reich, Alexander J. Zaslavski, Sergiu Aizicovici, ...

Abstract. We study continuous descent methods for minimizing convex functions defined on general Banach spaces and prove that most of them (in the sense of Baire

Hiroshi Maehara (2006)

The Erwin, Schrödinger International Boltzmanngasse, Hiroshi Maehara

We introduce a new variety of flexatube, a rhomboflexatube. It is obtained from a cardboard rhombohedron by removing a pair of opposite faces (rhombi), and then subdividing the remaining four faces...

Supported by the Austrian Federal Ministry of Education, Science and Culture (2006)

The Erwin, Schrödinger International Boltzmanngasse, Rais S. Ismagilov, Mark Losik, Peter W. Michor, Rais S. Ismagilov, ...

Abstract. For a symplectic manifold (M, ω) with exact symplectic form we construct a 2-cocycle on the group of symplectomorphisms and indicate cases when this cocycle is not trivial. 1.

MANIFOLD PRESERVING AN EXACT FORM. (2006)

The Erwin, Schrödinger International Boltzmanngasse, Mark Losik, Peter W. Michor, Mark Losik, Peter W. Michor

Abstract. Let M be a G-manifold and ω a G-invariant exact m-form on M. We indicate when these data allow us to constract a cocycle on a group G with values in the trivial G-module R and when this...

RELATED TO GROUPS WITH AMENABLE ACTIONS (2006)

The Erwin, Schrödinger International Boltzmanngasse, Marie Choda, Marie Choda

Abstract. We study the entropy for an automorphism and the Haagerup invariant in a relation to a discrete group which admits an amenable action on a compact space. By picking up the free group F ∞...

GRAVITY (2006)

The Erwin, Schrödinger International Boltzmanngasse, Karl Grill, Christian Tutschka, Karl Grill, Christian Tutschka

Abstract. Existence of a phase separation is proved for a classical lattice gas with finite-range pair potential under the action of a weak gravitational field. 1.

REGULAR REPRESENTATION ON THE BIG CELL AND BIG PROJECTIVE MODULES IN THE CATEGORY O. (2005)

The Erwin, Schrödinger International Boltzmanngasse, Konstantin Styrkas, Konstantin Styrkas

Abstract. The regular representation R(G0) consists of the regular functions on the big cell G0 ⊂ G, arising from the Gauss decomposition of a reductive complex Lie group G. The algebra R(G0) is...

HOMOGENEOUS BOSE GAS (2005)

The Erwin, Schrödinger International Boltzmanngasse, H. D. Cornean, J. Dereziński, P. Ziń, H. D. Cornean, ...

Abstract. We consider a second quantized homogeneous Bose gas in a large cubic box with periodic boundary conditions, at zero temperature, and in the grand canonical setting (the chemical potential...

COHOMOLOGY OF GRADED LIE ALGEBRAS OF MAXIMAL CLASS (2005)

The Erwin, Schrödinger International Boltzmanngasse, Alice Fialowski, Dmitri Millionschikov, Alice Fialowski, Dmitri Millionschikov

Abstract. It was shown by A. Fialowski that an arbitrary infinite-dimensional N-graded ”filiform type ” Lie algebra g = ⊕∞ i=1 gi with one-dimensional homogeneous components gi such that [g1,...

BLOCKED UNSTEADY CHANNEL FLOW (2005)

The Erwin, Schrödinger International Boltzmanngasse, A. A. Kolyshkin, Rémi Vaillancourt, Inta Volodko

Abstract. Spatio-temporal dynamics of complex flows in fluid mechanics is often analyzed and modeled by means of relatively simple nonlinear evolution equations, for instance the complex...

Supported by the Austrian Federal Ministry of Education, Science and Culture (2005)

The Erwin, Schrödinger International Boltzmanngasse, Wenchang Sun, Wenchang Sun

Abstract G-frames are generalized frames which include ordinary frames, bounded invertible linear operators, as well as many recent generalizations of frames, e.g., bounded quasi-projectors and...

Branes in the 2D black hole (2005)

The Erwin, Schrödinger International Boltzmanngasse, Sylvain Ribault, Volker Schomerus, Sylvain Ribault, Volker Schomerus

We present a comprehensive analysis of branes in the Euclidean 2D black hole (cigar). In particular, exact boundary states and annulus amplitudes are provided for D0-branes which are localized at the...

Landau-Ginzburg Description of Boundary Critical Phenomena in Two Dimensions (2005)

The Erwin, Schrödinger International Boltzmanngasse, Maxim Zabzine, Andrea Cappelli, Maxim Zabzine

The Virasoro minimal models with boundary are described in the Landau-Ginzburg theory by introducing a boundary potential, function of the boundary field value. The ground state field configurations...

HOMOLOGY AND MODULAR CLASSES OF LIE ALGEBROIDS (2005)

The Erwin, Schrödinger International Boltzmanngasse, Janusz Grabowski, Peter W. Michor, Janusz Grabowski, Giuseppe Marmo, ...

Abstract. For a Lie algebroid, divergences chosen in a classical way lead to a uniquely defined homology theory. They define also, in a natural way, modular classes of certain Lie algebroid...

SCATTERING THEORY FOR JACOBI OPERATORS WITH QUASI-PERIODIC BACKGROUND (2005)

The Erwin, Schrödinger International Boltzmanngasse, Iryna Egorova, Johanna Michor, Gerald Teschl, Iryna Egorova, ...

Abstract. We develop direct and inverse scattering theory for Jacobi operators which are short range perturbations of quasi-periodic finite-gap operators. We show existence of transformation...

STUDY OF AN OPTIMAL EXAMPLE FOR THE BALIAN–LOW THEOREM (2005)

The Erwin, Schrödinger International Boltzmanngasse, John J. Benedetto, Wojciech Czaja, Alexander M. Powell, John J. Benedetto, ...

Abstract. We analyze the time-frequency concentration of the Gabor orthonormal basis G(f, 1, 1) constructed by Høholdt, Jensen, and Justesen. We prove that their window function f has near optimal...

of the Equatorial Podle´s Sphere (2005)

The Erwin, Schrödinger International Boltzmanngasse, Giovanni Landi, Mario Paschke, Andrzej Sitarz, Giovanni L, ...

We propose a slight modification of the properties of a spectral geometry a la Connes, which allows for some of the algebraic relations to be satisfied only modulo compact operators. On the...

FOR PROPER HOLOMORPHIC EMBEDDINGS (2005)

The Erwin, Schrödinger International Boltzmanngasse, Björn Ivarsson, Frank Kutzschebauch, Jasna Prezelj, Franc Forstnerič, ...

Abstract. Given a Stein manifold of dimension n> 1, a discrete sequence {aj} ⊂ X, and a discrete sequence {bj} ⊂ C m ˜ where m ≥ N = m + 1, there exists a proper holomorphic embedding f: X...

TFT CONSTRUCTION OF RCFT CORRELATORS IV: STRUCTURE CONSTANTS AND CORRELATION FUNCTIONS (2004)

The Erwin, Schrödinger International Boltzmanngasse, Jürgen Fuchs, Ingo Runkel, Christoph Schweigert, Jürgen Fuchs, ...

We compute the fundamental correlation functions in two-dimensional rational conformal field theory, from which all other correlators can be obtained by sewing: the correlators of three bulk fields...

VACUUM EINSTEIN EQUATIONS IN EVEN DIMENSIONS (2004)

The Erwin, Schrödinger International Boltzmanngasse, Michael T. Anderson, Piotr T. Chru´sciel, Michael T. Anderson

Abstract. We show that a set of conformally invariant equations derived from the Fefferman-Graham tensor can be used to construct global solutions of vacuum Einstein equations, in all even...

Supported by the Austrian Federal Ministry of Education, Science and Culture (2004)

The Erwin, Schrödinger International Boltzmanngasse, Giovanni Landi, Andrzej Sitarz, Walter Van Suijlekom, Joseph C. Várilly, ...

We construct a 3 +-summable spectral triple (A(SUq(2)), H, D) over the quantum group SUq(2) which is equivariant with respect to a left and a right action of Uq(su(2)). The geometry is isospectral to...

SEMIRINGS (2004)

The Erwin, Schrödinger International Boltzmanngasse, P. Lotito, E. Mancinelli, P. Lotito, ...

Abstract. The Traffic Assignment problem consists in determining the routes used by sets of network users taking into account the link congestions. In deterministic modelling, Wardrop Equilibriums...

CONJECTURE, AND DISCRETE ANALOGS (2004)

The Erwin, Schrödinger International Boltzmanngasse, A. Iosevich, A. Iosevich

Abstract. In this paper we prove a series of results on the size of distance sets corresponding to sets in the Euclidean space. These distances are generated by bounded convex sets and the results...

WAVE EQUATIONS SATISFYING THE NULL CONDITION (2004)

The Erwin, Schrödinger International Boltzmanngasse, Jason Metcalfe, Makoto Nakamura, Christopher D. Sogge, Jason Metcalfe, ...

Abstract. We prove global existence of solutions to multiple speed, Dirichlet-wave equations with quadratic nonlinearities satisfying the null condition in the exterior of compact obstacles. This...

UCLA/04/TEP-41 Remarks on the rolling tachyon BCFT (2004)

The Erwin, Schrödinger International Boltzmanngasse, Matthias R. Gaberdiel, Michael Gutperle, Michael Gutperle B

It is shown how the boundary correlators of the Euclidean theory corresponding to the rolling tachyon solution can be calculated directly from Sen’s boundary state. The resulting formulae reproduce...

Supported by the Austrian Federal Ministry of Education, Science and Culture (2004)

The Erwin, Schrödinger International Boltzmanngasse, Robert Beig, Piotr T. Chru´sciel, Richard Schoen, Robert Beig, ...

We prove that the space-time developments of generic solutions of the vacuum constraint Einstein equations do not possess any global or local Killing vectors, when Cauchy data are prescribed on an...

FOURIER ANALYSIS AND GEOMETRIC COMBINATORICS (2004)

The Erwin, Schrödinger International Boltzmanngasse, Alex Iosevich, Alex Iosevich

Abstract. This article is based on the series of lectures on the interaction of Fourier analysis and geometric combinatorics delivered by the author in Padova at the Minicorsi di Analisi Matematica...

hep-th/0408243 Matrix Factorizations And Mirror Symmetry: The Cubic Curve (2004)

The Erwin, Schrödinger International Boltzmanngasse, Ilka Brunner, Manfred Herbst, Wolfgang Lerche, Johannes Walcher, ...

We revisit open string mirror symmetry for the elliptic curve, using matrix factorizations for describing D-branes on the B-model side. We show how flat coordinates can be intrinsically defined in...

Supported by the Austrian Federal Ministry of Education, Science and Culture (2004)

The Erwin, Schrödinger International Boltzmanngasse, Jacques Hurtubise, Lisa Jeffrey, Reyer Sjamaar, Jacques Hurtubise, ...

ABSTRACT. The purpose of this paper is twofold. First we extend the notion of symplectic implosion to the category of quasi-Hamiltonian K-manifolds, where K is a simply connected compact Lie group....

Rauzy–Veech–Zorich Induction Map on the Space of Exchanges of Four Intervals (2004)

The Erwin, Schrödinger International Boltzmanngasse, Alexander I. Bufetov, Er I. Bufetov

The aim of this paper is to prove a stretched-exponential bound for the decay of correlations for the Rauzy-Veech-Zorich induction map on the space of exchanges of four intervals (Theorem 4). This is...

OPERATORS GENERALISING THE Q-CURVATURE (2004)

The Erwin, Schrödinger International Boltzmanngasse, A. Rod Gover, A. Rod Gover

Abstract. We look at several problems in even dimensional conformal geometry based around the de Rham complex. A leading and motivating problem is to find a conformally invariant replacement for the...

Complex Fluids (2003)

The Erwin, Schrödinger International Boltzmanngasse, Hernán Cendra, Jerrold Marsden, Tudor S. Ratiu, Hernán Cendra, ...

Motivated by Poisson structures for complex fluids containing cocycles, such as the Poisson structure for spin glasses given by Holm and Kupershmidt in 1988, we investigate a general construction of...

CRITERION IN THE INVERSE PROBLEM OF CALCULUS OF VARIATIONS (2003)

The Erwin, Schrödinger International Boltzmanngasse, Theodore Voronov, Theodore Voronov

Abstract. We give a necessary and sufficient condition for the existence of a local solution of the inverse problem of calculus of variations in terms of the identical vanishing of the variation of a...

Supported by the Austrian Federal Ministry of Education, Science and Culture (2003)

The Erwin, Schrödinger International Boltzmanngasse, Kurt Ehlers, Jair Koiller, Pedro M. Rios, ...

A nonholonomic mechanical system is given by a configuration space Q n endowed with a riemannian metric 〈 , 〉, a potential V, and a totally nonholonomic constraint distribution H ⊂ T Q. Passing...

PURE POINT DYNAMICAL AND DIFFRACTION SPECTRA (2003)

The Erwin, Schrödinger International Boltzmanngasse, Michael Baake, Daniel Lenz, Michael Baake, Daniel Lenz

Abstract. Certain topological dynamical systems are considered that arise from actions of σ-compact locally compact Abelian groups on compact spaces of translation bounded measures. Such a measure...

Effective Field Theories on (2003)

The Erwin, Schrödinger International Boltzmanngasse, Xavier Calmet, Michael Wohlgenannt, Xavier Calmet

We consider Yang-Mills theories formulated on a non-commutative space-time described by a space-time dependent anti-symmetric field θ µν (x). Using Seiberg-Witten map techniques we derive the...

STANDARD LURIA-DELBRÜCK DISTRIBU- (2003)

The Erwin, Schrödinger International Boltzmanngasse, M. Möhle

A new scaling for the standard discrete Luria-Delbrück distribution is provided which leads to a weak convergence result as the parameter of the distribution tends to infinity. We show that the...

GROUP AUTOMORPHISMS (2003)

The Erwin, Schrödinger International Boltzmanngasse, Elon Lindenstrauss, Klaus Schmidt, Elon Lindenstrauss, Klaus Schmidt

Abstract. We prove that the restriction of a probability measure invariant under a nonhyperbolic, ergodic and totally irreducible automorphism of a compact connected abelian group to the leaves of...

SINGULAR SPHERICAL MAXIMAL OPERATORS ON A CLASS OF TWO STEP NILPOTENT LIE GROUPS (2003)

The Erwin, Schrödinger International Boltzmanngasse, Detlef Müller, Andreas Seeger, Detlef Müller, Andreas Seeger

Abstract. Let Hn ∼ = R2n ⋉ R be the Heisenberg group and let µt be the normalized surface measure for the sphere of radius t in R2n. Consider the maximal function defined by Mf = supt>0 |f...

Injectivity of the Double Fibration Transform for Cycle Spaces of Flag Domains (2003)

The Erwin, Schrödinger International Boltzmanngasse, Alan T. Huckleberry, Joseph A. Wolf, Alan T. Huckleberry, Joseph A. Wolf

The basic setup consists of a complex flag manifold Z = G/Q where G is a complex semisimple Lie group and Q is a parabolic subgroup, an open orbit D = G0(z) ⊂ Z where G0 is a real form of G, and a...

Complex forms of Quaternionic Symmetric Spaces (2003)

The Erwin, Schrödinger International Boltzmanngasse, Joseph A. Wolf, Joseph A. Wolf

We give a complete classification of the complex forms of quaternionic symmetric spaces. 1

Derrida’s Generalized Random Energy models 4: Continuous state branching and coalescents. (2003)

The Erwin, Schrödinger International Boltzmanngasse, Anton Bovier, Irina Kurkova, Anton Bovier, Irina Kurkova

Abstract: In this paper we conclude our analysis of Derrida’s Generalized Random Energy Models (GREM) by identifying the thermodynamic limit with a one-parameter family of probability measures...

COUNTEREXAMPLE TO CONJECTURED SU(N) CHARACTER (2003)

The Erwin, Schrödinger International Boltzmanngasse, Tatsuya Tate, Steve Zelditch, Tatsuya Tate, Steve Zelditch

The purpose of this note is to give a counterexample to the conjectured large N asymptotics of character values χR(U) of irreducible characters of SU(N), which appears in papers of Gross-Matytsin...

On the Superselection Theory of the Weyl Algebra for Diffeomorphism Invariant Quantum Gauge Theories (2003)

The Erwin, Schrödinger International Boltzmanngasse, Hanno Sahlmann, Thomas Thiemann, Hanno Sahlmann, Thomas Thiemann

Much of the work in loop quantum gravity and quantum geometry rests on a mathematically rigorous integration theory on spaces of distributional connections. Most notably, a diffeomorphism invariant...

A LIE STRUCTURE AT INFINITY (2003)

The Erwin, Schrödinger International Boltzmanngasse, Bernd Ammann, Robert Lauter, Victor Nistor

Abstract. Several interesting examples of non-compact manifolds M0 whose geometry at infinity is described by Lie algebras of vector fields V ⊂ Γ(M; T M) (on a compactification of M0 to a manifold...

‘HIGH ORDER FINITE ELEMENTS ’ ON POLYGONS (2003)

The Erwin, Schrödinger International Boltzmanngasse, Constantin Bacuta, Victor Nistor, Jinchao Xu, Ludmil Zikatanov

Abstract. Let u and uVn be the solution and, respectively, the finite element solution of the Poisson’s equation ∆u = f with zero boundary conditions. We construct for any m ∈ N and any polygon...

Superfield T-duality rules in ten dimensions with one isometry 1 (2003)

The Erwin, Schrödinger International Boltzmanngasse, Superfield T–duality Rules, Igor A. Bandos, Bernard Julia, Igor A. B, ...

In this contribution we present the superfield T-duality rules relating type IIA and type IIB supergravity potentials for the case when both type IIA and type IIB superspaces have (at least) one...

Distance sets corresponding to convex bodies (2003)

The Erwin, Schrödinger International Boltzmanngasse, Mihail N. Kolountzakis, Mihail N. Kolountzakis

Suppose that K ⊆ R d is a 0-symmetric convex body which defines the usual norm ‖x‖ K = sup {t ≥ 0: x / ∈ tK} on R d. Let also A ⊆ R d be a measurable set of positive upper density ρ. We...

Symmetric Spaces (2003)

The Erwin, Schrödinger International Boltzmanngasse, Pierre Bieliavsky, Yoshiaki Maeda, Pierre Bieliavsky, Yoshiaki Maeda

We apply methods from strict quantization of solvable symmetric spaces to obtain universal deformation formulae for actions of a class of solvable Lie groups. We also study compatible co-products by...

OF THE MAXIMAL SQUARE FUNCTION ASSOCIATED WITH THE SCHRÖDINGER EQUATION (2003)

The Erwin, Schrödinger International Boltzmanngasse, Giacomo Gigante, Fernando Soria, Giacomo Gigante, Fernando Soria

Abstract. A long standing conjecture for the linear Schrödinger equation states that 1/4 of derivative in L 2, in the sense of Sobolev spaces, suffices in any dimension for the solution to that...

OF DISCRETE GROUPS (2002)

The Erwin, Schrödinger International Boltzmanngasse, Erik Guentner, Jerome Kaminker, Erik Guentner, Jerome Kaminker

Abstract. We will describe a numerical invariant of discrete groups whose values interpolate between uniform embeddability in a Hilbert space and exactness. 1.

HOMOGENEOUS ALGEBRAS (2002)

The Erwin, Schrödinger International Boltzmanngasse, Roland Berger, Michel Dubois-violette, Marc Wambst, Michel Dubois-violette, ...

Various concepts associated with quadratic algebras admit natural generalizations when the quadratic algebras are replaced by graded algebras which are finitely generated in degree 1 with homogeneous...

The so(2, 1) symmetry in General Relativity (2002)

The Erwin, Schrödinger International Boltzmanngasse, Gaetano Vilasi, Patrizia Vitale, Gaetano Vilasi, Patrizia Vitale

The role of the so(2, 1) symmetry in General Relativity is analyzed. Cosmological solutions of Einstein field equations invariant with respect to a space-like Lie algebra Gr, with 3 ≤ r ≤ 6 and...

Riemann surfaces (2002)

The Erwin, Schrödinger International Boltzmanngasse, Steven B. Bradlow, Peter B. Gothen, Steven B. Bradlow, Peter B. Gothen

Abstract. A holomorphic triple over a compact Riemann surface consists of two holomorphic vector bundles and a holomorphic map between them. After fixing the topological types of the bundles and a...

BOUNDARY VALUE PROBLEMS AND LAYER POTENTIALS ON MANIFOLDS WITH CYLINDRICAL ENDS (2002)

The Erwin, Schrödinger International Boltzmanngasse, Marius Mitrea, Victor Nistor, Marius Mitrea, Victor Nistor

Abstract. We extend the method of layer potentials to manifolds with boundary and cylindrical ends. To obtain this extension along the classical lines, we have to deal with several technical...

Supported by the Austrian Federal Ministry of Education, Science and Culture (2002)

The Erwin, Schrödinger International Boltzmanngasse, Jorge Pullin, Jorge Pullin

This is a summary of the lectures presented at the Xth Brazilian school on cosmology and gravitation. The style of the text is that of a lightly written descriptive summary of ideas with almost no...

Causality in Inflationary Universes with Positive Spatial Curvature (2002)

The Erwin, Schrödinger International Boltzmanngasse, P. Mcewan, W. Stoeger, P. Dunsby, ...

We show that in the case of positively-curved Friedmann-Lemaître universes (k = +1), an inflationary period in the early universe will for most initial conditions not solve the horizon problem, no...

Field Models (2002)

The Erwin, Schrödinger International Boltzmanngasse, Asao Arai, Hiroyuki Kawano, Asao Arai, Hiroyuki Kawano

We consider, in an abstract form, a system of “quantum particles ” coupled to a Bose field. It is shown that, under suitable hypotheses, the composed system can have a ground state even if the...

ASYMPTOTICS OF THE TRANSITION PROBABILITIES OF THE SIMPLE RANDOM WALK ON SELF-SIMILAR GRAPHS (2002)

The Erwin, Schrödinger International Boltzmanngasse, Bernhard Krön, Elmar Teufl

Abstract. It is shown explicitly how self-similar graphs can be obtained as ‘blow-up ’ constructions of finite cell graphs Ĉ. This yields a larger family of graphs than the graphs obtained by...

Österreich’ (2001)

The Erwin, Schrödinger International Boltzmanngasse, H. Grosse, V. N. Popov, H. Grosse, V. N. Popov, ...

Abstract. We relate partition functions of spin systems for arbitrary spin s to partition functions of fermion systems. A simple diagram technique with s-dependent Matsubara frequencies is found. We...

automorphisms of the CAR-algebra (2001)

The Erwin, Schrödinger International Boltzmanngasse, Sergey I. Bezuglyi, Valentin Ya. Golodets, Sergey I. Bezuglyi, Valentin Ya. Golodets, ...

The notion of dynamical entropy for Z n-actions by automorphisms of C ∗-algebras is studied. These results are applied to Bogoliubov actions of Z n on the CAR-algebra. It is shown that the...

ELECTRIC NEUTRALITY AND “FREE ” FIELDS. (2001)

The Erwin, Schrödinger International Boltzmanngasse, Chris Radford, Chris Radford, Chris Radford

Abstract. Recent work on the Maxwell-Dirac equations is reviewed. The system we are interested in is the full Maxwell- Dirac equations: Dirac field with minimally coupled electromagnetic field and...

Faculté des Sciences (2001)

The Erwin, Schrödinger International Boltzmanngasse, Piotr T. Chru´sciel, Nikolai S. Nadirashvili, Département De Mathématiques, Nikolai S. Nadirashvili

Available via anonymous ftp or gopher from FTP.ESI.AC.ATAll electro–vacuum Majumdar–Papapetrou space–times with nonsingular black holes Piotr T. Chru´sciel ∗

Combinatorial Quantization of the Hamiltonian Chern-Simons Theory (2001)

The Erwin, Schrödinger International Boltzmanngasse, Anton Yu. Alekseev, Harald Grosse, Volker Schomerus, Anton Yu. Alekseev, ...

Motivated by a recent paper of Fock and Rosly [6] we describe a mathematically precise quantization of the Hamiltonian Chern-Simons theory. We introduce the Chern-Simons theory on the lattice which...

On the Free-Energy of Three-Dimensional CFTs and (2001)

The Erwin, Schrödinger 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 renormalized...

Supported by Federal Ministry of Science and Transport, Austria (2001)

The Erwin, Schrödinger International Boltzmanngasse, Z. Hradil, Č. Brukner, J. ˇ Reháček, Z. Hradil, ...

We study a general teleportation scheme with an arbitrary state of the pair of particles (2 and 3) shared by Alice and Bob, and arbitrary measurements on the input particle 1 and one of the members...

Mixing for Finite Systems of Coupled Tent Maps (2001)

The Erwin, Schrödinger International Boltzmanngasse, Gerhard Keller, Gerhard Keller

It is shown that a finite system of coupled mixing tent maps has a unique absolutely continuous invariant measure and is exact with respect to this measure provided the coupling strength does not...

UNIFORM ALGEBRAS AS BANACH SPACES (2001)

The Erwin, Schrödinger International Boltzmanngasse, T. W. Gamelin, S. V. Kislyakov, 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...

TOTALLY POSITIVE TOEPLITZ MATRICES AND QUANTUM COHOMOLOGY OF PARTIAL FLAG VARIETIES (2001)

The Erwin, Schrödinger International Boltzmanngasse, Konstanze Rietsch, Konstanze Rietsch

Abstract. We show that the set of totally positive unipotent upper-triangular Toeplitz matrices in GLn form a real semi-algebraic cell of dimension n − 1. Furthermore we prove a natural cell...

Supported by Federal Ministry of Science and Research, AustriaSPLITTING OF LANDAU LEVELS IN THE PRESENCE OF EXTERNAL POTENTIALS (2001)

The Erwin, Schrödinger International Boltzmanngasse, H. Grosse, J. Stubbe, H. Grosse, J. Stubbe

Abstract. We study the quantum mechanical problem of a charged particle moving in a constant magnetic field and an azimuthilly symmetric external potential. We show that the lowest Landau level...

Supported by Federal Ministry of Science and Research, AustriaAN AXIOMATIZATION OF THE LATTICE OF HIGHER RELATIVE COMMUTANTS OF A SUBFACTOR (2001)

The Erwin, Schrödinger International Boltzmanngasse, Sorin Popa, Sorin Popa

Abstract. We consider certain conditions for abstract lattices of commuting squares, that we prove are necessary and sufficient for them to arise as lattices of higher relative commutants of a...

and the Breakdown of Supersymmetry (2001)

The Erwin, Schrödinger International Boltzmanngasse, Detlev Buchholz, Roberto Longo, Detlev Buchholz, 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...

What are the Quantum Mechanical (2001)

The Erwin, Schrödinger International Boltzmanngasse, Walter Thirring, Lyapunov Exponents, W. Thirring

Dedicated to Paul Urban, teacher and friend The origin of chaotic behaviour of a dynamical system in the sense of sensitive dependence on initial conditions is the action of a certain group. We are...

Supported by Federal Ministry of Science and Research, Austria Available via anonymous ftp or gopher from FTP.ESI.AC.AT1H-COCYCLES AND ACTIONS OF GROUP EXTENSIONS (2001)

The Erwin, Schrödinger International Boltzmanngasse, Sergey I. Bezuglyi, Sergey I. Bezuglyi

Let E(G, A) be the group extension of an amenable l.c.s. group G by means of an Abelian l.c.s. group A, and U an ergodic action of E(G, A) on a measure space. The necessary and sufficient conditions...

THE FRÖLICHER-NIJENHUIS BRACKET FOR DERIVATION BASED NON COMMUTATIVE DIFFERENTIAL FORMS (2001)

The Erwin, Schrödinger International Boltzmanngasse, Peter W. Michor, Michel Dubois-violette, Peter W. Michor

Abstract. In commutative differential geometry the Frölicher-Nijenhuis bracket computes all kinds of curvatures and obstructions to integrability. In [3] the Frölicher-Nijenhuis bracket was...

“Special ” TT-tensors (2001)

The Erwin, Schrödinger International Boltzmanngasse, R. Beig, R. Beig

A certain 10-parameter set of TT-tensors on punctured R 3 which are widely used in numerical relativity as building blocks for extrinsic curvatures solving the momentum constraint of G.R. are given a...

Quantum Integrable Models and Discrete Classical Hirota Equations (2001)

The Erwin, Schrödinger International Boltzmanngasse, I. Krichever, O. Lipan, P. Wiegmann, A. Zabrodin, ...

The standard objects of quantum integrable systems are identified with elements of classical nonlinear integrable difference equations. Functional relation for commuting quantum transfer matrices of...

Anomalous diffusion, stable processes, and generalised functions (2001)

The Erwin, Schrödinger International Boltzmanngasse, Barry D. Hughes, Barry D. Hughes

The evolution equations in real space and time corresponding to a class of anomalous diffusion processes are examined. As special cases, evolution equations corresponding to stable processes are...

A COMMON GENERALIZATION OF THE FRÖLICHER-NIJENHUIS BRACKET AND THE SCHOUTEN BRACKET FOR SYMMETRIC MULTI VECTOR FIELDS (2001)

The Erwin, Schrödinger International Boltzmanngasse, Peter W. Michor, Michel Dubois-violette, Peter W. Michor

A common generalization of the Frölicher-Nijenhuis bracket and the Schouten bracket for symmetric multi vector fields Michel Dubois-Violette

The Ground State Energy of a Dilute Bose Gas ∗† (2001)

The Erwin, Schrödinger International Boltzmanngasse, Elliott H. Lieb, Jakob Yngvason, Elliott H. Lieb, Jakob Yngvason

According to a formula that was put forward many decades ago the ground state energy per particle of an interacting, dilute Bose gas at density ρ is 2π � 2 ρa/m to leading order in ρa 3 ≪ 1,...

and (2001)

The Erwin, Schrödinger International Boltzmanngasse, R. Beig, N. Ó Murchadha, R. Beig, ...

Transverse–tracefree (TT–) tensors on (R3, gab), with gab an asymptotically flat metric of fast decay at infinity, are studied. When the source tensor from which these TT tensors are constructed...

BACKGROUND OF IIB SUPERSTRING THEORY (2001)

The Erwin, Schrödinger International Boltzmanngasse, Matthias Blau, Christopher Hull, George Papadopoulos, Matthias Blau, ...

Abstract. We present a maximally supersymmetric IIB string background. The geometry is that of a conformally flat lorentzian symmetric space G/K with solvable G, with a homogeneous fiveform flux. We...

COMPOSITION FORMULAS ASSOCIATED WITH SYMBOLIC CALCULI AND APPLICATIONS (2001)

The Erwin, Schrödinger International Boltzmanngasse, André Unterberger, André Unterberger

Abstract. 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...

Supported by Federal Ministry of Science and Transport, Austria (2001)

The Erwin, Schrödinger International Boltzmanngasse, Hendrik Grundling, Fernando Lledó, 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...

D-53225 Bonn (2001)

The Erwin, Schrödinger International Boltzmanngasse, Dimitri V. Alekseevsky, Vincente Cortés, Quaternionic Kähler Manifolds, D. V. Alekseevsky, ...

A general method for calculation of the full isometry group of a Riemannian solvmanifold is presented. Using it we determine the full isometry group of the non-symmetric quaternionic Kähler...

Supported by Federal Ministry of Science and Research, Austria (2001)

The Erwin, Schrödinger International Boltzmanngasse, A. Levin, M. Olshanetsky

hep-th/yymmnnn Double coset construction of moduli space of holomorphic bundles and Hitchin systems. A.Levin 1 †, M.Olshanetsky

Available via anonymous ftp or gopher from FTP.ESI.AC.ATZERO INDEX OF PAIR OF PROJECTORS AND EXPANSIONS BY RESONANCE STATES FOR OPERATORS WITH BAND SPECTRUM (2001)

The Erwin, Schrödinger International Boltzmanngasse, B. Pavlov, B. Pavlov

The eigenfunctions expansions technique is well developed and largely used for selfadjoint and nonselfadjoint operators. But it could not be applied directly to operator-functions, since the main...

The Dirac Operator on the Fuzzy Sphere (2001)

The Erwin, Schrödinger International Boltzmanngasse, H. Grosse, P. Presnajder, H. Grosse

We introduce the Fuzzy analog of spinor bundles over the sphere on which the non-commutative analog of the Dirac operator acts. We construct the complete set of eigenstates including zero modes. In...

Differential Geometry on the Space of Connections via Graphs and Projective Limits (2001)

The Erwin, Schrödinger International Boltzmanngasse, Abhay Ashtekar, Jerzy Lewandowski, Abhay Ashtekar, Jerzy Lew

Available via anonymous ftp or gopher from FTP.ESI.AC.ATDifferential geometry on the space of connections via graphs and projective limits

A REASON FOR FUSION RULES TO BE EVEN (2001)

The Erwin, Schrödinger International Boltzmanngasse, Jürgen Fuchs, Ingo Runkel, Christoph Schweigert, Jürgen Fuchs, ...

We show that certain tensor product multiplicities in semisimple braided sovereign tensor categories must be even. The quantity governing this behavior is the Frobenius--Schur indicator. The result...

Double Categories in Mathematical Physics (2001)

The Erwin, Schrödinger International Boltzmanngasse, S. S. Moskaliuk, A. T. Vlassov, D ×d D

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...

ESI (2001)

The Erwin, Schrödinger International Boltzmanngasse, V. N. Chetverikov

Invertible linear differential operators on two-dimensional manifolds

BUNDLE OF A LIE GROUP OR A PRINCIPLE BUNDLE AND THEIR REDUCTIONS (2001)

The Erwin, Schrödinger International Boltzmanngasse, D. V. Alekseevsky, J. Grabowski, G. Marmo, P. W. Michor, ...

Poisson structures on the cotangent bundle of a Lie group or a principal bundle and their reductions

Supported by Federal Ministry of Science and Transport, Austria (2001)

The Erwin, Schrödinger International Boltzmanngasse, M. Abou-zeid, H. Samtleben, M. Abou-zeid, ...

We study supersymmetric vortex solutions in three-dimensional abelian gauged supergravity. First, we construct the general U(1)-gauged D = 3, N = 2 supergravity whose scalar sector is an arbitrary...

for Different Temperatures (2001)

The Erwin, Schrödinger International Boltzmanngasse, Christian D. Jäkel

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...

M. Hoffmann-Ostenhof 1 (2001)

The Erwin, Schrödinger International Boltzmanngasse, Nikolai Nadirashvili, N. Nadirashvili

Abstract. Let u ̸ ≡ const satisfy an elliptic equation L 0u ≡ Σai,jDiju + ΣbjDju = 0 with smooth coefficients in a domain in R 3. It is shown that the critical set |∇u | −1 {0} has locally...

Magnetic Schrödinger Operators and Unformly Elliptic Operators with Non-negative Potentials (2001)

The Erwin, Schrödinger International Boltzmanngasse, Kazuhiro Kurata, Kazuhiro Kurata

heat kernel, weighted smoothing estimate, subsolution estimate 1 Introduction and Main Results We consider the uniformly elliptic operator LE = −∇(A(x)∇) + V (x) with certain non-negative...

MAPPING CLASS GROUP Bn FOR THE su2 (2001)

The Erwin, Schrödinger International Boltzmanngasse, Yassen S. Stanev, Ivan T. Todorov, Knizhnik-zamoldchikov Equation, Yassen S. Stanev, ...

The study of a Fuchsian type differential equation in the complex domain has a substantial algebraic part: the characterization of the (finitely generated) monodromy group acting in the space of its...

Correlation Functions of Disordered Systems (2001)

The Erwin, Schrödinger International Boltzmanngasse, V. M. Tkachuk

Two disordered models are considered: spherical model and non-interacting electron gas on lattice. The supersymmetry representation for correlation functions of these models is obtained. Using this...

The Kernel of Dirac Operators on S 3 and R 3 (2000)

The Erwin, Schrödinger International Boltzmanngasse, L. Erdős, J. P. Solovej, László Erdős, Jan Philip Solovej

In this paper we describe an intrinsically geometric way of producing magnetic fields on S 3 and R 3 for which the corresponding Dirac operators have a non-trivial kernel. In many cases we are able...

THE CANONICAL SOLUTION OPERATOR TO ∂ RESTRICTED TO RADIAL SYMMETRIC BERGMAN SPACES (2000)

The Erwin, Schrödinger International Boltzmanngasse, F. Haslinger, Friedrich Haslinger

1. Introduction. In this paper we consider Bergman spaces A2 (D, dµ), where D is a disc in C and dµ(z) = m(z)dλ(z), m being a radial symmetric weight function. We also suppose that the monomials...

INSTANTANEOUS BETHE–SALPETER EQUATION: UTMOST ANALYTIC APPROACH (2000)

The Erwin, Schrödinger International Boltzmanngasse, Wolfgang Lucha, Khin Maung Maung, Franz F. Schöberl, Wolfgang Lucha, ...

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...

DELTA AND SINGULAR DELTA LOCUS FOR ONE DIMENSIONAL SYSTEMS OF CONSERVATION LAWS (2000)

The Erwin, Schrödinger International Boltzmanngasse, M. Nedeljkov, Marko Nedeljkov

Abstract. 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...

WITH VALUES IN CHOW GROUPS (2000)

The Erwin, Schrödinger International Boltzmanngasse, Lars Ernström, Shoji Yokura, Lars Ernström, Shoji Yokura

Deligne and Grothendieck conjectured the existence of a unique natural transformation c ∗ from the constructible function functor to the homology functor satisfying that the value of the...

hep-th/yymmnnn On Renormalization Group in Abstract QFT (2000)

The Erwin, Schrödinger International Boltzmanngasse, A. Mironov, A. Morozov, A. Mironov, A. Morozov

The basics of RG equations for generic partition functions are briefly reviewed, keeping in mind an application to the Polyakov-de Boer-Verlindes description of the holomorphic RG flow. 1 RG versus...

The Ground State Energy of a Dilute Two-dimensional Bose Gas (2000)

The Erwin, Schrödinger International Boltzmanngasse, J. 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 E0/N = (2π � 2 ρ/m) | ln(ρa 2) | −1, to leading...

ON ODD DIMENSIONAL MANIFOLDS WITH BOUNDARY (1999)

The Erwin, Schrödinger International Boltzmanngasse, Alan Carey, Jouko Mickelsson, Alan Carey, 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....

non-symmetric convex bodies (1999)

The Erwin, Schrödinger International Boltzmanngasse, V. D. Milman, A. Pajor, V. D. Milman, A. Pajor

We extend to the general, not necessary centrally symmetric setting a number of basic results of Local Theory which were known before for centrally symmetric bodies and were using very essentially...

CONVEX BODIES (1999)

The Erwin, Schrödinger 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.

MONODROMY MATRIX: ASSOCIATED RIEMANN SURFACE IS OF WIDOM TYPE WITH DIRECT CAUCHY THEOREM (1999)

The Erwin, Schrödinger International Boltzmanngasse, Peter Yuditskii, Peter Yuditskii

Let H0(t), H1(t) be real 2 × 2 matrix–functions with entries from L1 (0, 1), H ∗ 1(t) = H1(t), H0(t) ≥ 0. We associate with these data the solution of the Cauchy problem for the differential...

The Ground State Energy and Density of Interacting Bosons in a Trap (1999)

The Erwin, Schrödinger International Boltzmanngasse, Elliott H. Lieb, Robert Seiringer, Jakob Yngvason, Elliott H. Lieb, ...

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...

AND MARTINGALE DIFFERENCE SEQUENCES (1999)

The Erwin, Schrödinger International Boltzmanngasse, Emmanuel Lesigne, Emmanuel Lesigne

Abstract. Let (X i) be a martingale difference sequence and Sn = ∑ n i=1 Xi. We prove that if sup i E(e |X i | ) < ∞ then there exists c> 0 such that µ(Sn> n) ≤ e−cn1/3; this bound...

On a Conjecture for the Critical Behaviour of KAM Tori (1999)

The Erwin, Schrödinger International Boltzmanngasse, Federico Bonetto, Guido Gentile, Federico Bonetto, Guido Gentile

Abstract. 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...

Modular Theory and Geometry (1998)

The Erwin, Schrödinger International Boltzmanngasse, B. Schroer, H. –w. Wiesbrock, 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...

Symmetries in Chiral Models (1998)

The Erwin, Schrödinger International Boltzmanngasse, B. Schroer, H. –w. Wiesbrock, B. Schroer

In thermal states of chiral theories, as recently investigated by H.-J. Borchers and J. Yngvason, there exists a rich group of hidden symmetries. Here we show that this leads to a radical converse of...

ON KÄHLERIAN FIBER BUNDLES (1998)

The Erwin, Schrödinger International Boltzmanngasse, Steven B. Bradlow, James F. Glazebrook, Franz W. Kamber, Steven B. Bradlow, ...

Abstract. 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...

IV. Geometric Modular Action Associated With Wedges in IR4.............. p. 14 (1998)

The Erwin, Schrödinger International Boltzmanngasse, Detlev Buchholz, Martin Florig, Stephen J. Summers, ...

Abstract. A condition of geometric modular action is proposed as a selection principle for physically interesting states on general space-times. This condition is naturally associated with...

SPECTRAL PROPERTIES OF THE TWISTOR (1998)

The Erwin, Schrödinger International Boltzmanngasse, D. V. Alekseevsky, S. Marchiafava, M. Pontecorvo, Fibration Of, ...

Abstract. On a quaternion-Kähler 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...

and (1998)

The Erwin, Schrödinger International Boltzmanngasse, H. J. Borchers, J. Yngvason, H. J. Borchers, ...

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...

A Lower Bound for Chaos on the Elliptical Stadium (1997)

The Erwin, Schrödinger International Boltzmanngasse, Eduardo Canale, Roberto Markarian, Sylvie Oliffson Kamphorst

The elliptical stadium is a plane region bounded by a curve constructed by joining two half-ellipses, with half axes a> 1 and b = 1, by two parallel segments of equal length 2h. V. Donnay [2]...

Supported by Federal Ministry of Science and Research, Austria (1997)

The Erwin, Schrödinger International Boltzmanngasse, J. Madore, J. Madore

Dedicated to Walter Thirring on the occasion of his 70th birthday A review is made of recent efforts to add a gravitational field to noncommutative models of space-time. Special emphasize is placed...

MANIFOLDS OF POSITIVE EULER CHARACTERISTIC AND QUATERNIONIC KÄHLER MANIFOLDS (1997)

The Erwin, Schrödinger International Boltzmanngasse, Quaternionic Kähler Manifolds, D. V. Alekseevsky, F. Podestà, D. V. Alekseevsky, ...

Abstract. We investigate compact manifolds with positive Euler characteristic which admit a smooth action of a compact Lie group G with codimension one orbit. We give a classification for a large...

POISSON STRUCTURES ON DOUBLE LIE GROUPS (1997)

The Erwin, Schrödinger International Boltzmanngasse, D. Alekseevsky, J. Grabowski, G. Marmo, P. W. Michor, ...

Abstract. Lie bialgebra structures are reviewed and investigated in terms of the double Lie algebra, of Manin- and Gauß-decompositions. The standard R-matrix in a Manin decomposition then gives rise...

Edge States and Entropy of 2d Black Holes (1997)

The Erwin, Schrödinger International Boltzmanngasse, J. Gegenberg, G. Kunstatter, T. Strobl, J. Gegenberg, ...

In several recent publications Carlip, as well as Balachandran, Chandar and Momen, have proposed a statistical mechanical interpretation for black hole entropy in terms of “would be gauge ”...

On a Global Conformal Invariant of Initial Data Sets (1997)

The Erwin, Schrödinger International Boltzmanngasse, Robert Beig, László B. Szabados, Robert Beig, ...

In the present paper a global conformal invariant Y of a closed initial data set is constructed. A spacelike hypersurface Σ in a Lorentzian spacetime naturally inherits from the spacetime metric a...

SYMMETRY OF THE LYAPUNOV SPECTRUM (1997)

The Erwin, Schrödinger International Boltzmanngasse, Maciej P. Wojtkowski, Carlangelo Liverani, Maciej P. Wojtkowski, Carlangelo Liverani

Abstract. A generalization of the Hamiltonian formalism is studied and the symmetry of the Lyapunov spectrum established for the resulting systems. The formalism is applied to the Gausssian...

BRX TH–393 (1996)

The Erwin, Schrödinger International Boltzmanngasse, S. Deser, M. Henneaux, C. Teitelboim, Electric-magnetic Black, ...

We generalize duality invariance for the free Maxwell action in an arbitrary background geometry to include the presence of electric and magnetic charges. In particular,it follows that the actions of...

“geometric ” scattering (1996)

The Erwin, Schrödinger International Boltzmanngasse, Alexander Kiselev, Alexander Kiselev

We consider “geometric ” scattering for a Laplace-Beltrami operator on a compact Riemannian manifold inserted between “wires, ” that is, two half-lines. We discuss applicability and...

AND CANONICAL FILTRATIONS. (1996)

The Erwin, Schrödinger International Boltzmanngasse, Alexei Rudakov, Alexei Rudakov

Abstract. The main goal of the article is to give the general definition of algebraic stability that would permit to consider stalility not only for algebraic vector bundles or torsionfree coherent...

FURTHER RESULTS ON GEOMETRIC OPERATORS IN QUANTUM GRAVITY (1996)

The Erwin, Schrödinger International Boltzmanngasse, R. Loll, R. Loll

We investigate some properties of geometric operators in canonical quantum gravity in the connection approach à la Ashtekar, which are associated with volume, area and length of spatial regions. We...

STATISTICAL PROPERTIES OF DYNAMICAL SYSTEMS WITH SOME HYPERBOLICITY (1996)

The Erwin, Schrödinger 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 estimates of Periodic Potentials in Terms of Effective Masses (1996)

The Erwin, Schrödinger International Boltzmanngasse, Evgeni Korotyaev

Abstract. Let Gn = (A − n, A + n), n ≥ 1, denote the gaps, M ± n be the effective masses and Σn = [A + n−1, A − n], A + 0 = 0, be the spectral bands of the Hill operator T = −d2 /dx2 + V...

A (1) 1 ADMISSIBLE REPRESENTATIONS – FUSION TRANSFORMATIONS AND LOCAL CORRELATORS (1996)

The Erwin, Schrödinger International Boltzmanngasse, P. Furlan, A. Ch. Ganchev, V. B. Petkova, P. Furlan, ...

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...

Motivations and Physical Aims of Algebraic QFT (1996)

The Erwin, Schrödinger International Boltzmanngasse, Bert Schroer, Bert Schroer

We present illustrations which show the usefulness of algebraic QFT. In particular in low-dimensional QFT, when Lagrangian quantization is not available or is useless (e.g. in chiral conformal...

Phase Diagram of 3D Multi–Layered Solvable 6–Vertex Model (1996)

The Erwin, Schrödinger International Boltzmanngasse, V. Popkov, B. Nienhuis

Solvable via Bethe Ansatz (BA) anisotropic statistical model on cubic lattice consisting of locally interacting 6-vertex planes, is studied. Symmetries of BA lead to infinite hierarchy of possible...

ON TOPOLOGICAL RADON TRANSFORMATIONS (1995)

The Erwin, Schrödinger International Boltzmanngasse, Lars Ernström, Toru Ohmoto, Shoji Yokura, Lars Ernström, ...

Recently many mathematicians have been working on Radon transformation (see [3,4,5,7,8] etc.). In [3] Brylinski deals with topological Radon transformations of constructible sheaves and in [7,8]...

The Topological G/G WZW Model in the Generalized Momentum Representation (1995)

The Erwin, Schrödinger International Boltzmanngasse, Anton Yu. Alekseev, Peter Schaller, Thomas Strobl, Anton Yu. Alekseev, ...

We consider the topological gauged WZW model in the generalized momentum representation. The chiral field g is interpreted as a counterpart of the electric field E of conventional gauge theories. The...

hep-th/ Quantized Lax Equations and Their Solutions (1995)

The Erwin, Schrödinger International Boltzmanngasse, B. Jurčo, M. Schlieker, B. Jurčo, M. Schlieker

Integrable systems on quantum groups are investigated. The Heisenberg equations possessing the Lax form are solved in terms of the solution to the factorization problem on the corresponding quantum...

GAUSS DECOMPOSITION FOR QUANTUM GROUPS AND SUPERGROUPS (1995)

The Erwin, Schrödinger International Boltzmanngasse, E. V. Damaskinsky, P. P. Kulish, M. A. Sokolov, E. V. Damaskinsky

Abstract. The Gauss decompositions of the quantum groups, related to classical Lie groups and supergroups are considered by the elementary algebraic and R-matrix methods. The commutation relations...

SCATTERING MATRIX IN EXTERNAL FIELD PROBLEMS (1995)

The Erwin, Schrödinger International Boltzmanngasse, Edwin Langmann, Jouko Mickelsson, Edwin Langmann, Jouko Mickelsson

ABSTRACT: We discuss several aspects of second quantized scattering operators ˆ S for fermions in external time dependent fields. We derive our results on a general, abstract level having in mind as...

NONCOMMUTATIVE LATTICES AND THEIR CONTINUUM LIMITS (1995)

The Erwin, Schrödinger International Boltzmanngasse, G. Bimonte, E. Ercolessi, G. Landi, F. Lizzi, ...

We consider finite approximations of a topological space M by noncommutative lattices of points. These lattices are structure spaces of noncommutative C ∗ algebras which in turn approximate the...

ESI 214 (1995) q-alg 9503016 Representation Theory of Chern-Simons (1995)

The Erwin, Schrödinger International Boltzmanngasse, Anton Yu. Alekseev, Volker Schomerus, Anton Yu. Alekseev, Volker Schomerus

In [2], [3] we suggested a new quantum algebra, the moduli algebra, which is conjectured to be a quantum algebra of observables of the Hamiltonian Chern-Simons theory. This algebra provides the...

LATTICES AND THEIR CONTINUUM LIMITS (1995)

The Erwin, Schrödinger International Boltzmanngasse, G. Bimonte, E. Ercolessi, G. Landi, F. Lizzi, ...

We address the problem of the continuum limit for a system of Hausdorff lattices (namely lattices of isolated points) approximating a topological space M. The correct framework is that of projective...

A Fermi Field Algebra as Crossed Product (1995)

The Erwin, Schrödinger International Boltzmanngasse, Nevena Illieva, Heide Narnhofer, Nevena Ilieva, Heide Narnhofer, ...

for Mathematical Physics On the example of Luttinger model and Schwinger model we consider the observable algebra of interacting fermi systems in two–dimensional space–time and construct field...

Supported by Federal Ministry of Science and Research, Austria Available via anonymous ftp or gopher from FTP.ESI.AC.ATMagnetic Lieb-Thirring inequalities (1994)

The Erwin, Schrödinger International Boltzmanngasse, László Erdős, László Erdős

We study the generalizations of the well-known Lieb-Thirring inequality for the magnetic Schrödinger operator with nonconstant magnetic field. Our main result is the naturally expected magnetic...

Available via anonymous ftp or gopher from FTP.ESI.AC.ATSOME PECULIAR PROPERTIES OF THE RELATIVISTIC OSCILLATOR IN THE POSTGALILEAN APPROXIMATION* (1994)

The Erwin, Schrödinger International Boltzmanngasse, I. P. Pavlotsky, G. Vilasi, I. P. Pavlotsky, G. Vilasi

In the post-Galilean approximation, the Lagrangians are singular on a submanifold of the phase space. A general analysis of these peculiarities, which differ by the ones considered by Dirac, is, up...

q-EPSILON TENSOR FOR QUANTUM AND BRAIDED SPACES (1994)

The Erwin, Schrödinger International Boltzmanngasse, Shahn Majid, S. Majid

Abstract The machinery of braided geometry introduced previously is used now to construct the ɛ ‘totally antisymmetric tensor ’ on a general braided vector space determined by R-matrices. This...

Available via anonymous ftp or gopher from FTP.ESI.AC.ATDAMTP/94-66 ∗-STRUCTURES ON BRAIDED SPACES (1994)

The Erwin, Schrödinger International Boltzmanngasse, Shahn Majid, S. Majid

Abstract ∗-structures on quantum and braided spaces of the type defined via an R-matrix are studied. These include q-Minkowski and q-Euclidean spaces as additive braided groups. The duality between...

Gravitating solitons and hairy black holes (1994)

The Erwin, Schrödinger International Boltzmanngasse, Piotr Bizoń, Piotr Bizoń

A brief review of recent research on soliton and black hole solutions of Einstein’s equations with nonlinear field sources is presented and some open questions are pointed out. 1 1

Available via anonymous ftp or gopher from FTP.ESI.AC.ATInitial Data with Toroidal Conformal Symmetry (1994)

The Erwin, Schrödinger International Boltzmanngasse, R. Beig, S. Husa, R. Beig, S. Husa

A new class of time-symmetric solutions to the initial value constraints of vacuum General Relativity is introduced. These data are globally regular, asymptotically flat (with possibly several...

Available via anonymous ftp or gopher from FTP.ESI.AC.AT (131.130.25.2). Supported by Federal Ministry of Science and Research, Austria. The Euler-Poincaré Equations and Double Bracket Dissipation (1993)

The Erwin, Schrödinger International Boltzmanngasse, Anthony Bloch, Jerrold E. Marsden, Tudor S. Ratiu, Anthony Bloch, ...

This paper studies the perturbation of a Lie-Poisson (or, equivalently an Euler-Poincaré) system by a special dissipation term that has Brockett’s double bracket form. We show that a formally...

Can Anomalies Melt? (1993)

The Erwin, Schrödinger International Boltzmanngasse, Harald Grosse, Walter Maderner, Christian Reitberger, Harald Grosse, ...

In our attempts to relate models of quantum field theory and statistical mechanics to aspects of non-commutative differential geometry, we study quasifree second quantization of two dimensional...

Effective masses and conformal mappings (1993)

The Erwin, Schrödinger International Boltzmanngasse, P. Kargaev, E. Korotyaev

Abstract. Let Gn, n ∈ N, denote the set of gaps of the Hill operator. We solve the following problems: 1) find the effective masses M ± n, 2) compare the effective mass M ± n with the length of...

Chern-Simons theory A.Yu. Alekseev ∗† (1993)

The Erwin, Schrödinger International Boltzmanngasse, Anton Yu. Alekseev, A. Z. Malkin, A. Z. Malkin

This article is a review of two original papers [1], [2]. We begin with a description of Kirillov symplectic form and quantum mechanics on coadjoint orbits of a simple Lie group. This theory may be...

REGULARITY OF THE ELECTRON DENSITY OF MOLECULES AT THE NUCLEI (1816)

The Erwin, Schrödinger International Boltzmanngasse, S. Fournais, T. Østergaard Sørensen, S. Fournais, M. Hoffmann-ostenhof, ...

Abstract. We investigate regularity properties of molecular oneelectron densities ρ near the nuclei. In particular we derive a representation ρ(x) = e F(x) µ(x) with an explicit function F, only...

ON NONCOMMUTATIVE MANIFOLDS (1813)

The Erwin, Schrödinger International Boltzmanngasse, Jacek Brodzki, Varghese Mathai, Jonathan Rosenberg, Richard J. Szabo, ...

Abstract. We develop some of the ingredients needed for string theory on noncommutative spacetimes, proposing an axiomatic formulation of T-duality as well as establishing a very general formula for...

LIFTING SMOOTH CURVES OVER INVARIANTS FOR REPRESENTATIONS OF COMPACT LIE GROUPS, III (1806)

The Erwin, Schrödinger International Boltzmanngasse, Andreas Kriegl, Mark Losik, Peter W. Michor, Armin Rainer, ...

Abstract. Any sufficiently often differentiable curve in the orbit space V/G of a real finite dimensional orthogonal representation G → O(V) of a finite group G admits a differentiable lift into...