Ergodic optimization for renewal type shifts

DOI10.1007/s00605-005-0389-xzbMath1192.37015OpenAlexW2010657284MaRDI QIDQ877182

Godofredo Iommi

Publication date: 19 April 2007

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-005-0389-x

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Symbolic dynamics (37B10) Ergodic theory (37A99)

Related Items (11)

Ergodic optimization and zero temperature limits in negative curvature ⋮ On the existence of maximizing measures for irreducible countable Markov shifts: a dynamical proof ⋮ Entropy and variational principle for one-dimensional lattice systems with a generala prioriprobability: positive and zero temperature ⋮ Existence of the zero-temperature limit of equilibrium states on topologically transitive countable Markov shifts ⋮ Zero temperature limits of Gibbs states for almost-additive potentials ⋮ Multifractal analysis and phase transitions for hyperbolic and parabolic horseshoes ⋮ Zero temperature limits of Gibbs equilibrium states for countable Markov shifts ⋮ Majorization of invariant measures for orientation-reversing maps ⋮ Existence of Gibbs states and maximizing measures on a general one-dimensional lattice system with Markovian structure ⋮ Ergodic optimization in dynamical systems ⋮ Infinite DLR measures and volume-type phase transitions on countable Markov shifts

Cites Work

• Recurrence times and rates of mixing
• Zero temperature limits of Gibbs-equilibrium states for countable alphabet subshifts of finite type
• Ergodic optimization for noncompact dynamical systems
• Uniqueness of equilibrium measures for countable Markov shifts and multidimensional piecewise expanding maps
• Existence of Gibbs measures for countable Markov shifts
• Thermodynamic formalism for countable Markov shifts
• Phase transitions for countable Markov shifts

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