Convexity and Concentration

516.1

Convexity and Concentration edited by Eric Carlen, Mokshay Madiman, Elisabeth M. Werner. -
X, 626 p. 6 illus., 5 illus. in color. online resource. - (The IMA Volumes in Mathematics and its Applications, 161) Content notes : Part I: Probability and Concentration -- Interpolation of Probability Measures on Graphs -- Entropy and Thinning of Discrete Random Variables -- Structured Random Matrices -- Rates of Convergence for Empirical Spectral Measures: A Soft Approach -- Concentration of MEasure without Independence: A Unified Approach via the Martingale Method -- Strong Data-Processing Inequalities for Channels and Bayesian Networks -- An Application of a Functional Inequality to Quasi Invariance in Infinite Dimensions -- Borell's Formula on a Riemannian Manifold and Applications -- Fourth Moments and Products: Unified Estimates -- Asymptotic Expansions for Products of Characteristic Functions Under Moment Assumptions of non-Integer Orders -- Part II: Convexity and Concentration for Sets and Functions -- Non-Standard Constructions in Convex Geometry: Geometric Means of Convex Bodies -- Randomized Isoperimetric Inequalities -- Forward and Reverse Entropy Power Inequalities in Convex Geometry -- Log-Concave Functions -- On Some Problems Concerning Log-Concave Random Vectors -- Stability Results for Some Geometric Inequalities and their Functional Versions -- Measures of Sections of Convex Bodies -- On Isoperimetric Functions of Probability Measures Having Log-Concave Densities with Respect to the Standard Normal Law -- Counting Integer Points in Higher-Dimensional Polytopes -- The Chain Rule Operator Equation for Polynomials and Entire Functions. 9781493970056 * Discrete groups. Distribution (Probability theory. Convex and Discrete Geometry. Probability Theory and Stochastic Processes. * Carlen, Eric., edt, http://id.loc.gov/vocabulary/relators/edtMadiman, Mokshay., edt, http://id.loc.gov/vocabulary/relators/edtWerner, Elisabeth M., edt, http://id.loc.gov/vocabulary/relators/edt * Title * Series