Geometric aspects of functional analysis : Israel seminar 2004-2005 ; GAFA 2004-2005 / V.D. Milman, G. Schechtman (eds.).

Format:

Book

Conference/Event

Contributor:

Milman, Vitali D., 1939-

Schechtman, Gideon, 1947-

Conference Name:

Israel Seminar on Geometrical Aspects of Functional Analysis (2004-2005)

Series:

Lecture notes in mathematics, 0075-8434 ; 1910.

Lecture notes in mathematics, 0075-8434 ; 1910

Language:

English

Subjects (All):

Functional analysis--Congresses.

Functional analysis.

Genre:

Conference papers and proceedings.

Physical Description:

viii, 328 pages ; 24 cm.

Place of Publication:

Berlin ; New York : Springer, [2007]

Summary:

This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) during the years 2004-2005 follows the long tradition of the previous volumes that reflect the general trends of the Theory and are a source of inspiration for research. Most of the papers deal with different aspects of the Asymptotic Geometric Analysis, ranging from classical topics in the geometry of convex bodies, to inequalities involving volumes of such bodies or, more generally, log-concave measures, to the study of sections or projections of convex bodies. In many of the papers Probability Theory plays an important role; in some limit laws for measures associated with convex bodies, resembling Central Limit Theorems, are derive and in others probabilistic tools are used extensively. There are also papers on related subjects, including a survey on the behavior of the largest eigenvalue of random matrices and some topics in Number Theory.

Contents:

Theory of Valuations on Manifolds, IV. New Properties of the Multiplicative Structure / S. Alesker 1

Geometric Applications of Chernoff-Type Estimates / S. Artstein-Avidan, O. Friedland, V. Milman 45

A Remark on the Surface Brunn-Minkowski-Type Inequality / S. G. Bobkov 77

On Isoperimetric Constants for Log-Concave Probability Distributions / S. G. Bobkov 81

A Remark on Quantum Ergodicity for CAT Maps / J. Bourgain 89

Some Arithmetical Applications of the Sum-Product Theorems in Finite Fields / J. Bourgain 99

On the Maximal Number of Facets of 0/1 Polytopes / D. Gatzouras, A. Giannopoulos, N. Markoulakis 117

A Note on an Observation of G. Schechtman / Y. Gordon 127

Marginals of Geometric Inequalities / B. Klartag 133

Deviation Inequalities on Largest Eigenvalues / M. Ledoux 167

On the Euclidean Metric Entropy of Convex Bodies / A.E. Litvak, V.D. Milman, A. Pajor, N. Tomczak-Jaegermann 221

Some Remarks on Transportation Cost and Related Inequalities / M. Meckes 237

A Comment on the Low-Dimensional Busemann-Petty Problem / E. Milman 245

Random Convex Bodies Lacking Symmetric Projections, Revisited Through Decoupling / P. Pivovarov 255

The Random Version of Dvoretzky's Theorem in [Characters not reproducible] / G. Schechtman 265

Tail-Sensitive Gaussian Asymptotics for Marginals of Concentrated Measures in High Dimension / S. Sodin 271

Decoupling Weakly Dependent Events / S.J. Szarek, N. Tomczak-Jaegermann 297

The Square Negative Correlation Property for Generalized Orlicz Balls / J.O. Wojtaszczyk 305

Seminar Talks (with Related Workshop and Conference Talks) 315.

Notes:

International conference proceedings.

Includes bibliographical references.

ISBN:

9783540720522

3540720529

OCLC:

137248686