A note on the spectral gap for log-concave probability measures on convex bodies
Functional Analysis
2024-03-27 v2 Probability
Abstract
In this paper, we provide explicit lower bounds with respect to some quantities of interest (parameters of the underlying distribution, dimension, geometrical characteristics of the domain, position of the origin, etc.) on the spectral gap of log-concave probability measures on convex bodies. Our results are illustrated by some classical and less classical examples.
Keywords
Cite
@article{arxiv.2302.05207,
title = {A note on the spectral gap for log-concave probability measures on convex bodies},
author = {Michel Bonnefont and Aldéric Joulin},
journal= {arXiv preprint arXiv:2302.05207},
year = {2024}
}