Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The (B) conjecture for uniform measures in the plane   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.

8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: funct-an
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys