**Contemporary Mathematics**

Volume: 545;
2011;
211 pp;
Softcover

MSC: Primary 26; 32; 46; 53; 60;

Print ISBN: 978-0-8218-4971-2

Product Code: CONM/545

List Price: $83.00

Individual Member Price: $66.40

**Electronic ISBN: 978-0-8218-8224-5
Product Code: CONM/545.E**

List Price: $83.00

Individual Member Price: $66.40

# Concentration, Functional Inequalities and Isoperimetry

Share this page *Edited by *
*Christian Houdré; Michel Ledoux; Emanuel Milman; Mario Milman*

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.

#### Table of Contents

# Table of Contents

## Concentration, Functional Inequalities and Isoperimetry

- Contents v6 free
- Preface vii8 free
- COH formula and Dirichlet Laplacians on Small Domains of Pinned Path Spaces 110 free
- Maximal Characterization of Hardy–Sobolev Spaces on Manifolds 1322
- On Milman's Ellipsoids and M-Position of Convex Bodies 2332
- Fractional Generalizations of Young and Brunn–Minkowski Inequalities 3544
- Approximately Gaussian Marginals and the Hyperplane Conjecture 5564
- One More Proof of the Erdös-Turán Inequality, and an Error Estimatein Wigner's Law 6978
- Quantitative Isoperimetric Inequalities, with Applications to the Stability of Liquid Drops and Crystals 7786
- Spherical Reflection Positivity and the Hardy–Littlewood–Sobolev Inequality 8998
- On the Existence of Subgaussian Directions for Log-Concave Measures 103112
- On Isoperimetric Sets of Radially Symmetric Measures 123132
- From Concentration to Isoperimetry: Semigroup Proofs 155164
- Sobolev Inequalities, Rearrangements, Isoperimetry and Interpolation Spaces 167176
- Isoperimetric Bounds on Convex Manifolds 195204
- The Log-Convex Density Conjecture 209218

#### Readership

Graduate students and research mathematicians interested in the interplay between analysis, probability, and geometry.