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arXiv · 1311.6584

The (B) conjecture for uniform measures in the plane

Amir Livne Bar-on
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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.

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Amir Livne Bar-on. 2013-11-26. The (B) conjecture for uniform measures in the plane. https://arxiv.org/abs/1311.6584

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