Información General

• Autores: Keith M. Ball (coord.), Vitali D. Milman (coord.)
• Editores: Cambridge University Press
• Año de publicación: 1998
• Colecciones: Mathematical Sciences Research Institute publications, 34
• País: Estados Unidos
• Idioma: inglés
• ISBN: 0-521-64259-0
• Texto completo no disponible (Saber más ...)

Resumen

• Convex bodies are at once simple and amazingly rich in structure. While the classical results go back many decades, during the past ten years the integral geometry of convex bodies has undergone a dramatic revitalization, brought about by the introduction of methods, results and, most importantly, new viewpoints, from probability theory, harmonic analysis and the geometry of finite-dimensional normed spaces. This collection arises from an MSRI program held in the Spring of 1996, involving researchers in classical convex geometry, geometric functional analysis, computational geometry, and related areas of harmonic analysis. It is representative of the best research in a very active field that brings together ideas from several major strands in mathematics.

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Listado de artículos

• • Integrals of Smooth and Analytic Functions over Minkowski's Sums of Convex Sets

    Semyon Alesker

    págs. 1-15

    

  • Localization Technique on the Sphere and the Gromov-Milman Theorem on the Concentration Phenomenon on Uniformly Convex Sphere

    Semyon Alesker

    págs. 17-27

    

  • Geometric Inequalities in Option Pricing

    Christer Borell

    págs. 29-51

    

  • Random Points in Isotropic Convex Sets

    Jean Bourgain

    págs. 53-58

    

  • Threshold Intervals under Group Symmetries

    Jean Bourgain, Gil Kalai

    págs. 59-63

    

  • On a Generalization of the Busemann--Petty Problem

    Jean Bourgain, Gaoyong Zhang

    págs. 65-76

    

  • Isotropic Constants of Schatten Class Spaces

    Sean Dar

    págs. 77-80

    

  • On the Stability of the Volume Radius

    Efim D. Gluskin

    págs. 81-87

    

  • Polytope Approximations of the Unit Ball of lpn

    W. T. Gowers

    págs. 89-109

    

  • A Remark about the Scalar-Plus-Compact Problem

    W. T. Gowers

    págs. 111-115

    

  • Another Low-Technology Estimate in Convex Geometry

    Greg Kuperberg

    págs. 117-121

    

  • On the Equivalence Between Geometric and Arithmetic Means for Log-Concave Measures

    Rafal Latala

    págs. 123-127

    

  • On the Constant in the Reverse Brunn--Minkowski Inequality for p-Convex Balls

    Alexander E. Litvak

    págs. 129-137

    

  • The Extension of the Finite-Dimensional Version of Krivine's Theorem to Quasi-Normed Spaces

    Alexander E. Litvak

    págs. 139-148

    

  • A Note on Gowers' Dichotomy Theorem

    Bernard Maurey

    págs. 149-157

    

  • An �Isomorphic� Version of Dvoretzky's Theorem, II

    Vitali D. Milman, Gideon Schechtman

    págs. 159-164

    

  • Asymptotic Versions of Operators and Operator Ideals

    Roy Wagner

    págs. 165-179

    

  • Metric Entropy of the Grassmann Manifold

    Alain Pajor

    págs. 181-188

    

  • Curvature of Nonlocal Markov Generators

    Michael Schmuckenschläger

    págs. 189-197

    

  • An Extremal Property of the Regular Simplex

    Michael Schmuckenschläger

    págs. 199-202

    

  • Floating Body, Illumination Body, and Polytopal Approximation

    Carsten Schütt

    págs. 203-229

    

  • A Note on the M*-Limiting Convolution Body

    Antonis Tsolomitis

    págs. 231-236