A simple proof of the Poincaré inequality for a large class of probability measures
作者： Dominique Bakry , Franck Barthe , Patrick Cattiaux , Arnaud Guillin
DOI: 10.1214/ECP.V13-1352
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摘要: Abstract. We give a simple and direct proof of the existence spectral gap under some Lyapunov type condition which is satisfied in particular by log-concave probability measures on $\mathbb{R}^n$. The based arguments introduced Bakry al, but for sake completeness, all details are provided.
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