Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The mean-field Zero-Range process with unbounded monotone rates: mixing
  time, cutoff, and Poincar\'e constant   We consider the mean-field Zero-Range process in the regime where the
potential function $r$ is increasing to infinity at sublinear speed, and the
density of particles is bounded. We determine the mixing time of the system,
and establish cutoff. We also prove that the Poincar\'e constant is bounded
away from zero and infinity. This mean-field estimate extends to arbitrary
geometries via a comparison argument. Our proof uses the path-coupling method
of Bubley and Dyer and stochastic calculus.

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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph