Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Poisson approximation for the number of visits to balls in nonuniformly
  hyperbolic dynamical systems   We study the number of visits to balls B_r(x), up to time t/mu(B_r(x)), for a
class of non-uniformly hyperbolic dynamical systems, where mu is the SRB
measure. Outside a set of `bad' centers x, we prove that this number is
approximately Poissonnian with a controlled error term. In particular, when
r-->0, we get convergence to the Poisson law for a set of centers of mu-measure
one. Our theorem applies for instance to the H\'enon attractor and, more
generally, to systems modelled by a Young tower whose return-time function has
a exponential tail and with one-dimensional unstable manifolds. Along the way,
we prove an abstract Poisson approximation result of independent interest.

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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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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: mtrl-th
8
The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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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: eess
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol