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arxiv: 1601.06013 · v1 · pith:K4JZSROWnew · submitted 2016-01-22 · 🧮 math.DS

Thermodynamic formalism for some systems with countable Markov structures

classification 🧮 math.DS
keywords countableformalismmarkovsystemsthermodynamiccertainconstructingcorreleations
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We study ergodic properties of certain piecewise smooth two-dimensional systems by constructing countable Markov partitions. Using thermodynamic formalism we prove exponential decay of correleations.

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