Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A dynamical interpretation of Patterson-Sullivan distributions   Given a compact real hyperbolic space we study the connection between certain
phase space distributions, so called Patterson-Sullivan distributions, and
dynamical zeta functions. These zeta functions generalize logarithmic
derivatives of classical Selberg zeta functions which are defined by closed
geodesics which is data from the geodesic ow on phase space. Patterson-Sullivan
distributions are asymptotically equivalent to Wigner distributions which play
a key role in quantum ergodicity but they are also invariant under the geodesic
ow. The surface case was studied before in [AZ07] and thus the emphasis in this
work lies on the higher dimensional case.

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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ