Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A local limit theorem for random walks in balanced environments   Central limit theorems for random walks in quenched random environments have
attracted plenty of attention in the past years. More recently still, finer
local limit theorems -- yielding a Gaussian density multiplied by a highly
oscillatory modulating factor -- for such models have been obtained. In the
one-dimensional nearest-neighbor case with i.i.d. transition probabilities,
local limits of uniformly elliptic ballistic walks are now well understood. We
complete the picture by proving a similar result for the only recurrent case,
namely the balanced one, in which such a walk is diffusive. The method of proof
is, out of necessity, entirely different from the ballistic case.

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The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: econ