Concentration, functional inequalities, and isoperimetry : International Workshop on Concentration, Functional Inequalities, and Isoperimetry, October 29-November 1, 2009, Florida Atlantic University, Boca Raton, Florida / Christian Houdré [and three others], editors.

Format:

Book

Conference/Event

Author/Creator:

International Workshop on Concentration, Functional Inequalities, and Isoperimetry, Corporate Author.

Contributor:

Houdré, Christian, editor.

Conference Name:

International Workshop on Concentration, Functional Inequalities, and Isoperimetry (2009 : Florida Atlantic University), issuing body.

International Workshop on Concentration, Functional Inequalities, and Isoperimetry

Series:

Contemporary mathematics (American Mathematical Society). 0271-4132 545

Contemporary mathematics, 545 0271-4132

Language:

English

Subjects (All):

Isoperimetric inequalities--Congresses.

Isoperimetric inequalities.

Convexity spaces--Congresses.

Convexity spaces.

Functional analysis--Congresses.

Functional analysis.

Physical Description:

1 online resource (226 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2011]

Language Note:

English

Summary:

The volume contains the proceedings of the international workshop on Concentration, Functional Inequalities and Isoperimetry, held at Florida Atlantic University in Boca Raton, Florida, from October 29-November 1, 2009. The interactions between concentration, isoperimetry and functional inequalities have led to many significant advances in functional analysis and probability theory. Important progress has also taken place in combinatorics, geometry, harmonic analysis and mathematical physics, to name but a few fields, with recent new applications in random matrices and information theory. This book should appeal to graduate students and researchers interested in the fascinating interplay between analysis, probability, and geometry.

Contents:

Introduction

Contents

Preface

COH formula and Dirichlet Laplacians on Small Domains of Pinned Path Spaces

Maximal Characterization of Hardy–Sobolev Spaces on Manifolds

On Milman's Ellipsoids and M-Position of Convex Bodies

Fractional Generalizations of Young and Brunn–Minkowski Inequalities

Approximately Gaussian Marginals and the Hyperplane Conjecture

One More Proof of the Erdös-Turán Inequality, and an Error Estimatein Wigner's Law

Quantitative Isoperimetric Inequalities, with Applications to the Stability of Liquid Drops and Crystals

Spherical Reflection Positivity and the Hardy-Littlewood-Sobolev Inequality

On the Existence of Subgaussian Directions for Log-Concave Measures

On Isoperimetric Sets of Radially Symmetric Measures

From Concentration to Isoperimetry: Semigroup Proofs

Sobolev Inequalities, Rearrangements, Isoperimetry and Interpolation Spaces

Isoperimetric Bounds on Convex Manifolds

The Log-Convex Density Conjecture.

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on print version record.

ISBN:

0-8218-8224-4

0-8218-7405-5