Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantitative estimate of propagation of chaos for stochastic systems
  with $W^{-1, \infty}$ kernels   We derive quantitative estimates proving the propagation of chaos for large
stochastic systems of interacting particles. We obtain explicit bounds on the
relative entropy between the joint law of the particles and the tensorized law
at the limit. We have to develop for this new laws of large numbers at the
exponential scale. But our result only requires very weak regularity on the
interaction kernel in the negative Sobolev space $\dot W^{-1,\infty}$, thus
including the Biot-Savart law and the point vortices dynamics for the 2d
incompressible Navier-Stokes.

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The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
13
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: solv-int
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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: patt-sol