An inequality for moments of log-concave functions on Gaussian random vectors
Probability
2016-10-17 v3
Abstract
We prove a sharp moment inequality for a log-concave or a log-convex function, on Gaussian random vectors. As an application we take a stability result for the classical logarithmic Sobolev inequality of L. Gross in the case where the function is log-concave.
Keywords
Cite
@article{arxiv.1601.02492,
title = {An inequality for moments of log-concave functions on Gaussian random vectors},
author = {Nikos Dafnis and Grigoris Paouris},
journal= {arXiv preprint arXiv:1601.02492},
year = {2016}
}