Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

Request Permissions   Purchase Content 
 

 

On the improvement of concavity of convex measures


Author: Arnaud Marsiglietti
Journal: Proc. Amer. Math. Soc. 144 (2016), 775-786
MSC (2010): Primary 52A20, 52A40; Secondary 28A75, 60G15
DOI: https://doi.org/10.1090/proc/12694
Published electronically: June 24, 2015
MathSciNet review: 3430853
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 published in 2010.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 52A20, 52A40, 28A75, 60G15

Retrieve articles in all journals with MSC (2010): 52A20, 52A40, 28A75, 60G15


Additional Information

Arnaud Marsiglietti
Affiliation: Université Paris-Est, LAMA (UMR 8050), UPEMLV, UPEC, CNRS, F-77454, Marne-la-Vallée, France
Email: arnaud.marsiglietti@u-pem.fr

DOI: https://doi.org/10.1090/proc/12694
Keywords: Brunn-Minkowski inequality, convex measure, Gaussian measure
Received by editor(s): April 4, 2014
Received by editor(s) in revised form: December 12, 2014
Published electronically: June 24, 2015
Additional Notes: The author was supported in part by the Agence Nationale de la Recherche, project GeMeCoD (ANR 2011 BS01 007 01).
Communicated by: Thomas Schlumprecht
Article copyright: © Copyright 2015 American Mathematical Society