Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Velocity of the $L$-branching Brownian motion   We consider a branching-selection system of particles on the real line that
evolves according to the following rules: each particle moves according to a
Brownian motion during an exponential lifetime and then splits into two new
particles and, when a particle is at a distance $L$ of the highest particle, it
dies without splitting. This model has been introduced by Brunet, Derrida,
Mueller and Munier in the physics literature and is called the $L$-branching
Brownian motion. We show that the position of the system grows linearly at a
velocity $v_L$ almost surely and we compute the asymptotic behavior of $v_L$ as
$L$ tends to infinity: $v_L = \sqrt{2} - \pi^2 / 2 \sqrt{2} L^2 + o(1/L^2)$, as
conjectured by Brunet, Derrida, Mueller and Munier. The proof makes use of
results by Berestycki, Berestycki and Schweinsberg concerning branching
Brownian motion in a strip.

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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat