Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-equilibrium fluctuations for the SSEP with a slow bond   We prove the non-equilibrium fluctuations for the one-dimensional symmetric
simple exclusion process with a slow bond. This generalizes a result of T.
Franco, A. Neumann and P. Gon\c{c}alves (2013), which dealt with the
equilibrium fluctuations. The foundation stone of our proof is a precise
estimate on the correlations of the system, and that is by itself one of the
main novelties of this paper. To obtain these estimates, we first deduce a
spatially discrete PDE for the covariance function and we relate it to the
local times of a random walk in a non-homogeneous environment via Duhamel's
principle. Projection techniques and coupling arguments reduce the analysis to
the problem of studying the local times of the classical random walk. We think
that the method developed here can be applied to a variety of models, and we
provide a discussion on this matter.

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The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
17
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: patt-sol
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc