Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The overlap distribution at two temperatures for the branching Brownian
  motion   We study the overlap distribution of two particles chosen under the Gibbs
measure at two temperatures for the branching Brownian motion. We first prove
the convergence of the overlap distribution using the extended convergence of
the extremal process obtained by Bovier and Hartung. We then prove that the
mean overlap of two points chosen at different temperatures is strictly smaller
than in Derrida's random energy model. The proof of this last result is
achieved with the description of the decoration point process obtained by
A\"id\'ekon, Berestycki, Brunet and Shi. To our knowledge, it is the first time
that this description is being used.

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The categories of this paper are: supr-con
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
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The categories of this paper are: eess
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci