Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unique SRB measures and transitivity for Anosov diffeomorphisms   We prove that every $C^2$ Anosov diffeomorphism in a compact and connected
Riemannian manifold has a unique SRB and physical probability measure, whose
basin of attraction covers Lebesgue almost every point in the manifold. Then,
we use structural stability of Anosov diffeomorphisms to deduce that all $C^1$
Anosov diffeomorphisms on compact and connected Riemannian manifolds are
transitive.

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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int