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arXiv · 2302.05207

A note on the spectral gap for log-concave probability measures on convex bodies

Michel Bonnefont·Aldéric Joulin
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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.

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Michel Bonnefont, Aldéric Joulin. 2023-02-10. A note on the spectral gap for log-concave probability measures on convex bodies. https://arxiv.org/abs/2302.05207

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