Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Metastability of one-dimensional, non-reversible diffusions with
  periodic boundary conditions   We consider small perturbations of a dynamical system on the one-dimensional
torus. We derive sharp estimates for the pre-factor of the stationary state, we
examine the asymptotic behavior of the solutions of the Hamilton-Jacobi
equation for the pre-factor, we compute the capacities between disjoint sets,
and we prove the metastable behavior of the process among the deepest wells
following the martingale approach. We also present a bound for the probability
that a Markov process hits a set before some fixed time in terms of the
capacity of an enlarged process.

9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc