Equilibrium States of Grid Functions

DOI10.2307/1999503zbMath0526.28014OpenAlexW4246230285MaRDI QIDQ3041463

Michael E. Paul, Nelson G. Markley

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/1999503

zbMATH Keywords

phase transitionstopological entropyequilibrium statesRuelle-Perron-Frobenius theoremshift spacepresuremaximal measuresgrid functionsRuelle's operatorbifurcations of equilibrium states

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Classical equilibrium statistical mechanics (general) (82B05) Ergodic theory (37A99)

Related Items (7)

Equilibrium States of Grid Functions ⋮ Relative Pressure, Relative Equilibrium States, Compensation Functions and Many-to-One Codes Between Subshifts ⋮ Dimensions of compact invariant sets of some expanding maps ⋮ Measures of maximal entropy for suspension flows over the full shift ⋮ The space of invariant measures for countable Markov shifts ⋮ Measures of maximal entropy on subsystems of topological suspension semiflows ⋮ An estimation of phase transition ^*

Cites Work

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• Equilibrium States of Grid Functions
• A Variational Principle for the Pressure of Continuous Transformations
• Ruelle's Operator Theorem and g-Measures
• Examples for the Nonuniqueness of the Equilibrium State
• Invariant Measures and Equilibrium States for Some Mappings which Expand Distances
• On the notion of recurrence in discrete stochastic processes

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