Thermodynamic formalism for countable Markov shifts

DOI10.1090/pspum/089/01485zbMath1375.37099OpenAlexW4251578597MaRDI QIDQ3179093

Omri M. Sarig

Publication date: 20 December 2016

Published in: Hyperbolic Dynamics, Fluctuations and Large Deviations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/pspum/089/01485

zbMATH Keywords

phase transitionGibbs measuretopological Markov shiftRuelle's operator

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Orbit growth in dynamical systems (37C35) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

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