Thermodynamic formalism for some systems with countable Markov structures

Michael Jakobson

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arXiv · 1601.06013

Thermodynamic formalism for some systems with countable Markov structures

Michael Jakobson

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Abstract

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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Michael Jakobson. 2016-01-22. Thermodynamic formalism for some systems with countable Markov structures. https://arxiv.org/abs/1601.06013

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