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arXiv · 1005.5127

Log-concave measures

Denis Feyel·A. Suleyman Ustunel
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Abstract

We study the log-concave measures, their characterization via the Prékopa-Leindler property and also define a subset of it whose elements are called super log-concave measures which have the property of satisfying a logarithmic Sobolev inequality. We give some results about their stability. Certain relations with measure transportation of Monge-Kantorovitch and the Monge-Ampére equation are also indicated with applications.

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Denis Feyel, A. Suleyman Ustunel. 2010-05-27. Log-concave measures. https://arxiv.org/abs/1005.5127

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