On a measure with maximal entropy for a suspension flow over a countable alphabet Markov shift

DOI10.1007/s40879-015-0056-2zbMath1360.37006OpenAlexW1123509570MaRDI QIDQ888775

B. M. Gurevich

Publication date: 2 November 2015

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-015-0056-2

zbMATH Keywords

topological entropysuspension flowmaximal entropytopological Markov shift

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Symbolic dynamics (37B10) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10)

Cites Work

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• Bernoulli equilibrium states for surface diffeomorphisms
• On the measure with maximal entropy for the Teichmüller flow on the moduli space of Abelian differentials
• The Teichmüller geodesic flow
• Special flows constructed from countable topological Markov chains
• A variational characterization of one-dimensional countable state Gibbs random fields
• Existence and uniqueness of the measure of maximal entropy for the Teichmüller flow on the moduli space of Abelian differentials
• Uniqueness of equilibrium measures for countable Markov shifts and multidimensional piecewise expanding maps
• Symbolic dynamics for surface diffeomorphisms with positive entropy

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