Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local limit theorem for nonuniformly partially hyperbolic skew-products,
  and Farey sequences   We study skew-products of the form (x,\omega)\mapsto (Tx, \omega+\phi(x))
where T is a nonuniformly expanding map on a space X, preserving a (possibly
singular) probability measure \tilde\mu, and \phi:X\to S^1 is a C^1 function.
Under mild assumptions on \tilde\mu and \phi, we prove that such a map is
exponentially mixing, and satisfies the central and local limit theorems. These
results apply to a random walk related to the Farey sequence, thereby answering
a question of Guivarc'h and Raugi.

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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio