English

Thermodynamic formalism for some systems with countable Markov structures

Dynamical Systems 2016-01-25 v1

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.

Keywords

Cite

@article{arxiv.1601.06013,
  title  = {Thermodynamic formalism for some systems with countable Markov structures},
  author = {Michael Jakobson},
  journal= {arXiv preprint arXiv:1601.06013},
  year   = {2016}
}
R2 v1 2026-06-22T12:34:54.091Z