eBook

Concentration, functional inequalities and isoperimetry : International Workshop on Concentration, Functional Inequalities and Isoperimetry, October 29-November 1, 2009, Florida Atlantic University, Boca Raton, Florida

Ledoux, Michel, Milman, Emanuel, International Workshop on Concentration, Functional Inequalities and Isoperimetry, Milman, Mario, Houdré, Christian

2011

Overview

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.

• Publisher: American Mathematical Society
• Subject: Convexity spaces / Convexity spaces -- Congresses / Differential geometry -- Global differential geometry -- Global Riemannian geometry, including pinching. msc / Differential geometry -- Global differential geometry -- Methods of Riemannian geometry, including PDE methods; curvature restrictions. msc / Functional analysis / Functional analysis -- Congresses / Functional analysis -- Linear function spaces and their duals -- Spaces of measurable functions ($Lp$-spaces, Orlicz spaces, the function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.). msc / Functional analysis -- Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) -- Measures and integration on abstract linear spaces. msc / Isoperimetric inequalities / Isoperimetric inequalities -- Congresses / Probability theory and stochastic processes -- Distribution theory -- Inequalities; stochastic orderings. msc / Probability theory and stochastic processes -- Probability theory on algebraic and topological structures -- None of the above, but in this section. msc / Real functions -- Inequalities -- Inequalities involving derivatives and differential and integral operators. msc / Several complex variables and analytic spaces -- Geometric convexity -- Analytical consequences of geometric convexity (vanishing theorems, etc.). msc
• ISBN: 0821849719, 9780821849712