Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Limits of relative entropies associated with weakly interacting particle
  systems   The limits of scaled relative entropies between probability distributions
associated with N-particle weakly interacting Markov processes are considered.
The convergence of such scaled relative entropies is established in various
settings. The analysis is motivated by the role relative entropy plays as a
Lyapunov function for the (linear) Kolmogorov forward equation associated with
an ergodic Markov process, and Lyapunov function properties of these scaling
limits with respect to nonlinear finite-state Markov processes are studied in
the companion paper [6].

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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio