Convexity and Concentration

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Carlen, Eric (Επιμελητής έκδοσης), Madiman, Mokshay (Επιμελητής έκδοσης), Werner, Elisabeth M. (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2017.
• Σειρά: The IMA Volumes in Mathematics and its Applications, 161
• Θέματα: Mathematics.; Convex geometry.; Discrete geometry.; Probabilities.; Convex and Discrete Geometry.; Probability Theory and Stochastic Processes.

This volume presents some of the research topics discussed at the 2014-2015 Annual Thematic Program Discrete Structures: Analysis and Applications at the Institute of Mathematics and its Applications during the Spring 2015 where geometric analysis, convex geometry and concentration phenomena were th...

Πίνακας περιεχομένων:

• 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.