Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence, uniqueness and stability of equilibrium states for
  non-uniformly expanding maps   We prove existence of finitely many ergodic equilibrium states for a large
class of non-uniformly expanding local homeomorphisms on compact manifolds and
Holder continuous potentials with not very large oscillation. No Markov
structure is assumed. If the transformation is topologically mixing there is a
unique equilibrium state, it is exact and satisfies a non-uniform Gibbs
property. Under mild additional assumptions we also prove that the equilibrium
states vary continuously with the dynamics and the potentials (statistical
stability) and are also stable under stochastic perturbations of the
transformation.

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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph