On the improvement of concavity of convex measures

2014/03/29 by Arnaud Marsiglietti, Marsiglietti, Arnaud · 2 citations
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Geometry and complex manifolds #Mathematical Dynamics and Fractals #Point processes and geometric inequalities #math.FA

paper · pdf · doi:10.48550/arxiv.1403.7643

Corrected typos, 14 pages

openalex publication_date 2014/03/29 · arxiv created 2014/12/15 · arxiv updated 2014/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 additional assumptions on the measures or on the sets, such as symmetries. This generalizes results of Gardner and Zvavitch.

Cited by

• Functional Liftings of Restricted Geometric Inequalities
• Concavity principles for weighted marginals

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