Pressure and equilibrium states for countable state Markov shifts

DOI10.1007/BF02785859zbMath1026.37020MaRDI QIDQ1852723

Ulf-Rainer Fiebig, Michiko Yuri, Doris Fiebig

Publication date: 30 November 2003

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

zbMATH Keywords

equilibrium statescoding theorytopological pressurecountable Markov shifts

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Symbolic dynamics (37B10)

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Cites Work

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• Topological pressure and the variational principle for noncompact sets
• Symbolic dynamics. One-sided, two-sided and countable state Markov shifts
• Thermodynamic formalism for countable Markov shifts
• Invariant Measures and Equilibrium States for Some Mappings which Expand Distances
• Thermodynamic formalism for countable symbolic Markov chains
• Thermodynamic formalism for countable Markov shifts
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
• Thermodynamic formalism for null recurrent potentials

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