%0 Journal Article
%T The (B) conjecture for uniform measures in the plane
%A Amir Livne Bar-on
%J Mathematics
%D 2013
%I arXiv
%X 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.
%U http://arxiv.org/abs/1311.6584v1