Deviation inequalities for convex functions motivated by the Talagrand conjecture
Probability
2020-02-07 v1 Functional Analysis
Abstract
Motivated by Talagrand's conjecture on regularization properties of the natural semigroup on the Boolean hypercube, and in particular its continuous analogue involving regularization properties of the Ornstein-Uhlenbeck semigroup acting on in-tegrable functions, we explore deviation inequalities for log-semiconvex functions under Gaussian measure.
Cite
@article{arxiv.1706.08688,
title = {Deviation inequalities for convex functions motivated by the Talagrand conjecture},
author = {Nathael Gozlan and Mokshay Madiman and Cyril Roberto and Paul-Marie Samson},
journal= {arXiv preprint arXiv:1706.08688},
year = {2020}
}