16 Apr
2014
16 Apr
'14
2:21 p.m.
This is an announcement for the paper "On improvement of the concavity of convex measures" by Arnaud Marsiglietti.
Abstract: We prove that a general class of measures, which includes $\log$-concave measures, are $\frac{1}{n}$-concave in the terminology of Borell under additional assumptions on the measure or on the sets, such as symmetries. This generalizes results of Gardner and Zvavitch.
Archive classification: math.FA
Submitted from: arnaud.marsiglietti@univ-mlv.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1403.7643
or