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On the improvement of concavity of convex measures

Published 29 Mar 2014 in math.FA | (1403.7643v2)

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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