Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scaling limit for Brownian motions with one-sided collisions   We consider Brownian motions with one-sided collisions, meaning that each
particle is reflected at its right neighbour. For a finite number of particles
a Sch\"{u}tz-type formula is derived for the transition probability. We
investigate an infinite system with periodic initial configuration, that is,
particles are located at the integer lattice at time zero. The joint
distribution of the positions of a finite subset of particles is expressed as a
Fredholm determinant with a kernel defining a signed determinantal point
process. In the appropriate large time scaling limit, the fluctuations in the
particle positions are described by the Airy$_1$ process.

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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
1
The categories of this paper are: cs
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
3
The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: eess