Second-order concentration on the sphere-Reference-Cited by-同舟云学术

Second-order concentration on the sphere

Published:2016-08-18 Issue:05 Volume:19 Page:1650058
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

Bobkov Sergey G.¹,Chistyakov Gennadiy P.²,Götze Friedrich²

Affiliation:

1. School of Mathematics, University of Minnesota, 127 Vincent Hall, 206 Church St. S.E., Minneapolis, MN 55455, USA

2. Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld, Germany

Abstract

Sharpened forms of the concentration of measure phenomenon for classes of functions on the sphere are developed in terms of Hessians of these functions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199716500589

Reference12 articles.

1. Concentration inequalities for non-Lipschitz functions with bounded derivatives of higher order

2. Logarithmic Sobolev Inequalities and Exponential Integrability

3. Analysis and Geometry of Markov Diffusion Operators

4. Exponential Integrability and Transportation Cost Related to Logarithmic Sobolev Inequalities

5. A Berry-Esseen type inequality for convex bodies with an unconditional basis

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