Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A mean field limit for the Vlasov-Poisson system   We present a probabilistic proof of the mean field limit and propagation of
chaos $N$-particle systems in three dimensions with positive (Coulomb) or
negative (Newton) $1/r$ potentials scaling like $1/N$ and an $N$-dependent
cut-off which scales like $N^{-1/3+ \epsilon}$. In particular, for typical
initial data, we show convergence of the empirical distributions to solutions
of the Vlasov-Poisson system with either repulsive electrical or attractive
gravitational interactions.

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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: econ
4
The categories of this paper are: cond-mat
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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: stat
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
3
The categories of this paper are: physics