Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Einstein relation for reversible diffusions in random environment   We consider reversible diffusions in random environment and prove the
Einstein relation for this model. It says that the derivative of the effective
velocity under an additional local drift equals the diffusivity of the model
without drift. The Einstein relation is conjectured to hold for a variety of
models but is proved insofar only in particular cases. Our proof makes use of
homogenization arguments, the Girsanov transform, and a refinement of the
regeneration times introduced by Lian Shen in [20].

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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th