Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Einstein relation for random walks in random environment   In this article, we consider the speed of the random walks in a (uniformly
elliptic and i.i.d.) random environment (RWRE) under perturbation. We obtain
the derivative of the speed of the RWRE w.r.t. the perturbation, under the
assumption that one of the following holds: (i) the environment is balanced and
the perturbation satisfies a Kalikow-type ballisticity condition, (ii) the
environment satisfies Sznitman's ballisticity condition. This is a generalized
version of the Einstein relation for RWRE. Our argument is based on a
modification of Lebowitz-Rost's argument developed in [Stochastic Process.
Appl. 54 (1994) 183-196] and a new regeneration structure for the perturbed
balanced environment.

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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph