Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homogenization for Generalized Langevin Equations with Applications to
  Anomalous Diffusion   We study homogenization for a class of generalized Langevin equations (GLEs)
with state-dependent coefficients and exhibiting multiple time scales. In
addition to the small mass limit, we focus on homogenization limits, which
involve taking to zero the inertial time scale and, possibly, some of the
memory time scales and noise correlation time scales. The latter are meaningful
limits for a class of GLEs modeling anomalous diffusion. We find that, in
general, the limiting stochastic differential equations (SDEs) for the slow
degrees of freedom contain non-trivial drift correction terms and are driven by
non-Markov noise processes. These results follow from a general homogenization
theorem stated and proven here. We illustrate them using stochastic models of
particle diffusion.

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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: stat
27
The categories of this paper are: comp-gas