Concentration, functional inequalities, and isoperimetry : International Workshop on Concentration, Functional Inequalities, and Isoperimetry, October 29-November 1, 2009, Florida Atlantic University,
Isoperimetric inequalities Convexity spaces Functional analysis
American Mathematical Society
2011
EISBN 0821882244
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.
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.
