17 Dec
2013
17 Dec
'13
11:13 a.m.
This is an announcement for the paper "The (B) conjecture for uniform measures in the plane" by Amir Livne Bar-on.
Abstract: We prove that for any two centrally-symmetric convex shapes $K,L \subset \mathbb{R}^2$, the function $t \mapsto |e^t K \cap L|$ is log-concave. This extends a result of Cordero-Erausquin, Fradelizi and Maurey in the two dimensional case. Possible relaxations of the condition of symmetry are discussed.
Archive classification: math.FA
Remarks: 10 pages
Submitted from: livnebaron@mail.tau.ac.il
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1311.6584
or