Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-reversible Metastable Diffusions with Gibbs Invariant Measure II:
  Markov Chain Convergence   This article considers a class of metastable non-reversible diffusion
processes whose invariant measure is a Gibbs measure associated with a Morse
potential. In a companion paper [30], we proved the Eyring-Kramers formula for
the corresponding class of metastable diffusion processes. In this article, we
further develop this result by proving that a suitably time-rescaled metastable
diffusion process converges to a Markov chain on the deepest metastable
valleys. This article is also an extension of [43], which considered the same
problem for metastable reversible diffusion processes. Our proof is based on
the recently developed partial differential equation (PDE) approach to
metastability. To the best of our knowledge, this study is the first to propose
a robust methodology for applying the PDE approach to non-reversible models.

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The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
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The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas