On the existence of maximizing measures for irreducible countable Markov shifts: a dynamical proof

DOI10.1017/etds.2012.194zbMath1310.37026arXiv1109.0062OpenAlexW2051320688MaRDI QIDQ2925258

Rodrigo Bissacot, Ricardo Jun. dos Santos Freire

Publication date: 21 October 2014

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.0062

zbMATH Keywords

countable Markov shiftmaximizing measure

Mathematics Subject Classification ID

Symbolic dynamics (37B10)

Related Items (6)

Ergodic optimization and zero temperature limits in negative curvature ⋮ Existence of the zero-temperature limit of equilibrium states on topologically transitive countable Markov shifts ⋮ The Ruelle operator for symmetric \(\beta\)-shifts ⋮ Gibbs states and Gibbsian specifications on the space ℝ^ℕ ⋮ Equilibrium states and zero temperature limit on topologically transitive countable Markov shifts ⋮ Ergodic optimization in dynamical systems

Cites Work

• Weak KAM methods and ergodic optimal problems for countable Markov shifts
• Ergodic optimization for renewal type shifts
• Entropy for zero-temperature limits of Gibbs-equilibrium states for countable-alphabet subshifts of finite type
• Ergodic optimization
• Zero temperature limits of Gibbs-equilibrium states for countable alphabet subshifts of finite type
• La condition de Walters
• Ergodic optimization for noncompact dynamical systems
• A sufficient condition for the subordination principle in ergodic optimization
• Ergodic optimization for countable alphabet subshifts of finite type

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