Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kac's Process with Hard Potentials and a Moderate Angular Singularity   We investigate Kac's many-particle stochastic model of gas dynamics in the
case of hard potentials with a moderate angular singularity, and show that the
noncutoff particle system can be obtained as the limit of cutoff systems, with
a rate independent of the number of particles $N$. As consequences, we obtain a
wellposedness result for the corresponding Boltzmann equation, and convergence
of the particle system in the limit $N\rightarrow \infty$.

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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn