Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence and uniqueness of an invariant measure for a chain of
  oscillators in contact with two heat baths   In this note we consider a chain of $N$ oscillators, whose ends are in
contact with two heat baths at different temperatures. Our main result is the
exponential convergence to the unique invariant probability measure (the
stationary state). We use the Lyapunov's function technique of Rey-Bellet and
coauthors with different model of heat baths, and adapt these techniques to two
new case recently considered in the literature by respectively Bernardin and
Olla, Lefevere and Schenkel

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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph