Convex Geometric Analysis
Edited by Keith Ball and Vitali Milman
Contents
Table of Contents
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Introduction: The Convex Geometry and Geometric Analysis Program,
MSRI, Spring 1996 followed by list of GAFA Seminars 1994–1996.
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Integrals of Smooth and Analytic Functions over Minkowski's Sums of Convex Sets, by Semyon Alesker, 1-15
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Localization Technique on the Sphere and the Gromov–Milman Theorem on
the Concentration Phenomenon on Uniformly Convex Sphere,
by Semyon Alesker, 17-27
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Geometric Inequalities in Option Pricing, by Christer Borell, 29-51
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Random Points in Isotropic Convex Sets, by Jean Bourgain, 53-58
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Threshold Intervals under Group Symmetries, by Jean Bourgain and Gil Kalai, 59-63
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On a Generalization of the Busemann–Petty Problem, by Jean Bourgain and Gaoyong Zhang, 65-76
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Isotropic Constants of Schatten Class Spaces, by Sean Dar, 77-80
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On the Stability of the Volume Radius, by Efim D. Gluskin, 81-87
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Polytope Approximations of the Unit Ball of $l_p^n$, by W. Timothy Gowers, 89-109
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A Remark about the Scalar-Plus-Compact Problem, by W. Timothy Gowers, 111-115
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Another Low-Technology Estimate in Convex Geometry, by Greg Kuperberg, 117-121
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On the Equivalence Between Geometric and Arithmetic Means for Log-Concave Measures, by Rafał Latała, 123-127
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On the Constant in the Reverse Brunn–Minkowski Inequality for p-Convex Balls, by Alexander E. Litvak, 129-137
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The Extension of the Finite-Dimensional Version of Krivine's Theorem to Quasi-Normed Spaces, by Alexander E. Litvak, 139-148
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A Note on Gowers' Dichotomy Theorem, by Bernard Maurey, 149-157
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An “Isomorphic” Version of Dvoretzky's Theorem, II, by Vitali Milman and Gideon Schechtman, 159-164
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Asymptotic Versions of Operators and Operator Ideals, by Roy Wagner, 165-179
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Metric Entropy of the Grassmann Manifold, by Alain Pajor, 181-188
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Curvature of Nonlocal Markov Generators, by Michael Schmuckenschläger, 189-197
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An Extremal Property of the Regular Simplex, by Michael Schmuckenschläger, 199-202
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Floating Body, Illumination Body, and Polytopal Approximation, by Carsten Schütt, 203-229
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A Note on the $M^\ast$-Limiting Convolution Body, by Antonis Tsolomitis, 231-236
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