Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Random Walks on Dynamical Random Environments with Non-Uniform Mixing   In this paper we study random walks on dynamical random environments in $1 +
1$ dimensions. Assuming that the environment is invariant under space-time
shifts and fulfills a mild mixing hypothesis, we establish a law of large
numbers and a concentration inequality around the asymptotic speed. The mixing
hypothesis imposes a polynomial decay rate of covariances on the environment
with sufficiently high exponent but does not impose uniform mixing. Examples of
environments for which our methods apply include the contact process and
Markovian environments with a positive spectral gap, such as the East model.
For the East model we also obtain that the distinguished zero satisfies a Law
of Large Numbers with strictly positive speed.

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The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
1
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