arXiv Analytics

Sign in

arXiv:1502.04178 [math.PR]AbstractReferencesReviewsResources

Second order concentration on the sphere

S. G. Bobkov, G. P. Chistyakov, F. Götze

Published 2015-02-14Version 1

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

Comments: Extended version including an appendix on spherical calculus
Categories: math.PR, math.FA
Subjects: 60E15, 58C35, 46E35
Related articles: Most relevant | Search more
arXiv:1605.08635 [math.PR] (Published 2016-05-27)
Second Order Concentration via Logarithmic Sobolev Inequalities
arXiv:1706.09446 [math.PR] (Published 2017-06-28)
On the tightness of Gaussian concentration for convex functions
arXiv:1709.06838 [math.PR] (Published 2017-09-20)
Higher Order Concentration of Measure