Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic strong Feller property and local weak irreducibility via
  generalized couplings   In this short note we show how the asymptotic strong Feller property (ASF)
and local weak irreducibility can be established via generalized couplings. We
also prove that a stronger form of ASF together with local weak irreducibility
implies uniqueness of an invariant measure. The latter result is optimal in a
certain sense and complements some of the corresponding results of Hairer,
Mattingly (2008).

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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ph