English

Borel Isomorphism of SPR Markov Shifts

Dynamical Systems 2014-05-29 v1

Abstract

We show that strongly positively recurrent Markov shifts (in particular shifts of finite type) are classified up to Borel conjugacy by their entropy, period and their numbers of periodic points.

Keywords

Cite

@article{arxiv.1405.7155,
  title  = {Borel Isomorphism of SPR Markov Shifts},
  author = {Mike Boyle and Jerome Buzzi and Ricardo Gomez},
  journal= {arXiv preprint arXiv:1405.7155},
  year   = {2014}
}