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arXiv · 1403.7643

On the improvement of concavity of convex measures

Arnaud Marsiglietti
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Abstract

We prove that a general class of measures, which includes $\log$-concave measures, is $\frac{1}{n}$-concave according to the terminology of Borell, with additional assumptions on the measures or on the sets, such as symmetries. This generalizes results of Gardner and Zvavitch.

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Arnaud Marsiglietti. 2014-03-29. On the improvement of concavity of convex measures. https://arxiv.org/abs/1403.7643

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