Abstract
Abstract. We give a simple and direct proof of the existence of a spectral gap under some Lyapunov type condition which is satisfied in particular by log-concave probability measures on $\mathbb{R}^n$. The proof is based on arguments introduced in Bakry and al, but for the sake of completeness, all details are provided.
Citation
Dominique Bakry. Franck Barthe. Patrick Cattiaux. Arnaud Guillin. "A simple proof of the Poincaré inequality for a large class of probability measures." Electron. Commun. Probab. 13 60 - 66, 2008. https://doi.org/10.1214/ECP.v13-1352
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