Geometric Aspects of Functional Analysis : Israel Seminar 2004-2005 / edited by Vitali D. Milman, Gideon Schechtman.

Format:

Book

Contributor:

Milman, Vitali D., 1939- editor.

Schechtman, Gideon, 1947- editor.

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1910.

Lecture Notes in Mathematics, 0075-8434 ; 1910

Language:

English

Subjects (All):

Functional analysis.

Discrete groups.

Distribution (Probability theory).

Functional Analysis.

Convex and Discrete Geometry.

Probability Theory and Stochastic Processes.

Local Subjects:

Functional Analysis.

Convex and Discrete Geometry.

Probability Theory and Stochastic Processes.

Physical Description:

1 online resource (VIII, 332 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.

System Details:

text file PDF

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

Geometric Applications of Chernoff-Type Estimates

A Remark on the Surface Brunn-Minkowski-Type Inequality

On Isoperimetric Constants for Log-Concave Probability Distributions

A Remark on Quantum Ergodicity for CAT Maps

Some Arithmetical Applications of the Sum-Product Theorems in Finite Fields

On the Maximal Number of Facets of 0/1 Polytopes

A Note on an Observation of G. Schechtman

Marginals of Geometric Inequalities

Deviation Inequalities on Largest Eigenvalues

On the Euclidean Metric Entropy of Convex Bodies

Some Remarks on Transportation Cost and Related Inequalities

A Comment on the Low-Dimensional Busemann-Petty Problem

Random Convex Bodies Lacking Symmetric Projections, Revisited Through Decoupling

The Random Version of Dvoretzky's Theorem in

Tail-Sensitive Gaussian Asymptotics for Marginals of Concentrated Measures in High Dimension

Decoupling Weakly Dependent Events

The Square Negative Correlation Property for Generalized Orlicz Balls.

Other Format:

Printed edition:

ISBN:

9783540720539

Access Restriction:

Restricted for use by site license.