Second order concentration on the sphere
Probability
2016-05-26 v2 Functional Analysis
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.
Cite
@article{arxiv.1502.04178,
title = {Second order concentration on the sphere},
author = {S. G. Bobkov and G. P. Chistyakov and F. Götze},
journal= {arXiv preprint arXiv:1502.04178},
year = {2016}
}
Comments
Extended version including an appendix on spherical calculus. Correcting an identity and arguments in Section 14. (Pointed out to us by Bo'az Klartag)