On the improvement of concavity of convex measures

Arnaud Marsiglietti

doi:10.1090/proc/12694

On the improvement of concavity of convex measures

Arnaud Marsiglietti

Institute for Mathematics and its Applications

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

We prove that a general class of measures, which includes log-concave measures, is 1/n-concave according to the terminology of Borell, with nadditional assumptions on the measures or on the sets, such as symmetries. This generalizes results of Gardner and Zvavitch published in 2010.

Original language	English (US)
Pages (from-to)	775-786
Number of pages	12
Journal	Proceedings of the American Mathematical Society
Volume	144
Issue number	2
DOIs	https://doi.org/10.1090/proc/12694
State	Published - Feb 2016

Bibliographical note

Publisher Copyright:
© 2015 American Mathematical Society.

Keywords

Brunn-Minkowski inequality
Convex measure
Gaussian measure

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On the improvement of concavity of convex measures

Abstract

Bibliographical note

Keywords

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