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Borel isomorphism of SPR Markov shifts

Volume 137 / 2014

Mike Boyle, Jérôme Buzzi, Ricardo Gómez Colloquium Mathematicum 137 (2014), 127-136 MSC: Primary 37B10; Secondary 37B40. DOI: 10.4064/cm137-1-9


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


  • Mike BoyleDepartment of Mathematics
    University of Maryland
    College Park, MD 20742-4015, U.S.A.
  • Jérôme BuzziLaboratoire de Mathématiques d'Orsay (CNRS, UMR 8628)
    Université Paris-Sud
    91405 Orsay Cedex, France
  • Ricardo GómezInstituto de Matemáticas
    Universidad Nacional Autónoma de México
    Area de la Investigación Científica
    Circuito Exterior
    C. U. México D.F. 04510, Mexico

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