Periodic points of denumerable topological Markov chains

DOI10.1070/SM1995v186n10ABEH000081zbMath0865.58037OpenAlexW2064742692MaRDI QIDQ4333439

Sergey V. Savchenko

Publication date: 23 February 1997

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1995v186n10abeh000081

zbMATH Keywords

periodic pointslocally constant functionstopological Markov chainsArtin-Mazur-Ruelle zeta functionsRuelle-Smale zeta functions

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Entropy and other invariants (28D20) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items (3)

Erratum: ``On Omri Sarig's work on the dynamics of surfaces ⋮ Special flows constructed from countable topological Markov chains ⋮ Counting, equidistribution and entropy gaps at infinity with applications to cusped Hitchin representations

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