Concentration, Functional Inequalities and Isoperimetry.

Intro -- 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.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.