Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rate of convergence of the Kac-like particle system   In this paper, we consider the Kac stochastic particle system associated to
the spatially homogeneous Boltzmann equation for true hard potentials. We
establish a rate of propagation of chaos of the particle system to the unique
solution of the Boltzmann equation. We use a probabilistic coupling method and
give, under suitable assumptions on the initial condition, a rate of
convergence of the empirical measure of the particle system to the solution of
the Boltzmann equation for this singular interaction.

9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an