Regularity of plurisubharmonic upper envelopes in big cohomology classes (2009)
Berman, Robert, Demailly, Jean-Pierre
The goal of this work is to prove the regularity of certain quasi-plurisubharmonic upper envelopes. Such envelopes appear in a natural way in the construction of hermitian metrics with minimal...
Augmentation treatment in major depressive disorder: focus on aripiprazole (2008)
J Craig Nelson1, Andrei Pikalov2, Robert M Berman31University of California San Francisco, San Francisco, California, USA; 2Otsuka Pharmaceutical Inc., Rockville, MD, USA; 3Bristol-Myers Squibb,...
Convergence of Bergman measures for high powers of a line bundle (2008)
Berman, Robert, Nystrom, David Witt
Let $L$ be a holomorphic line bundle on a compact complex manifold $X$ of dimension $n,$ and let $e^{-\phi}$ be a continuous metric on $L.$ Fixing a measure $d\mu$ on $X$ gives a sequence of Hilbert...
Growth of balls of holomorphic sections and energy at equilibrium (2008)
Berman, Robert, Boucksom, Sebastien
Let X be a compact complex manifold endowed with a big line bundle L. We define the energy at equilibrium of a weighted subset as the Aubin-Mabuchi energy of the associated extremal pluri-subharmonic...
The Self and Its Body in Hegel's Phenomenology of Spirit (review) (2008)
Journal of the History of Philosophy - Volume 36, Number 4, October 1998
Bergman kernels and equilibrium measures for line bundles over projective manifolds (2007)
Let L be a holomorphic line bundle over a compact complex projective Hermitian manifold X. Any fixed smooth hermitian metric h on L induces a Hilbert space structure on the space of global...
Bergman kernels and equilibrium measures for ample line bundles (2007)
Let L be an ample holomorphic line bundle over a compact complex Hermitian manifold X. Any fixed smooth Hermitian metric on L induces a Hilbert space structure on the space of global holomorphic...
Bergman kernels for weighted polynomials and weighted equilibrium measures of C^n (2007)
Various convergence results for the Bergman kernel of the Hilbert space of all polynomials in \C^{n} of total degree at most k, equipped with a weighted norm, are obtained. The weight function is...
Bergman kernels and equilibrium measures for polarized pseudoconcave domains (2006)
Let X be a strictly pseudoconcave domain in a closed polarized complex manifold (Y,L) where L is a (semi-)positive line bundle over Y. Any given Hermitian metric on L, together with a volume form,...
Asymptotics for Bergman-Hodge kernels for high powers of complex line bundles (2005)
Berman, Robert, Sjoestrand, Johannes
In this paper we obtain the full asymptotic expansion of the Bergman-Hodge kernel associated to a high power of a holomorphic line bundle with non-degenerate curvature. We also explore some relations...
Asymptotics of Bergman kernels (2005)
Berman, Robert, Berndtsson, Bo, Sjoestrand, Johannes
We give an elementary proof of the existence of an asymptotic expansion in powers of $k$ of the Bergman kernel associated to $L^k$, where $L$ is a positive line bundle. We also give an algorithm for...
Super Toeplitz operators on line bundles (2004)
Let L^k be a high power of a hermitian holomorphic line bundle over a complex manifold X. Given a differential form f on X, we define a super Toeplitz operator T(f) acting on the space of harmonic...
Holomorphic Morse inequalities on manifolds with boundary (2004)
Let X be a compact manifold with boundary and let L^k be a high power of a hermitian holomorphic line bundle over X. When X has no boundary, Demailly's holomorphic Morse inequalities give asymptotic...
Bergman kernels and local holomorphic Morse inequalities (2002)
Let X be a hermitian manifold and let L^k be a high power of a hermitian line bundle over X. Local versions of Demailly's holomorphic Morse inequalities are presented - after integration they yield...
Bergman Kernels and Local Holomorphic Morse Inequalities (2002)
This thesis consists of a slightly extended version of the submitted paper Bergman Kernels and Local Holomorphic Morse Inequalities (Robert Berman). For a given complex manifold X; equipped with a...
Thesis (Ph. D.)--University of Lancaster, 1995.
Thesis (M. Urban Plan.)--University of Washington, 1993.
Boudreau, John W., Berman, Robert
[Excerpt] Profit-sharing is frequently used to link employee performance and labor costs to the profitability of organizations. It represents a significant investment. Yet, 'managers' decisions...
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