Relative Pressure, Relative Equilibrium States, Compensation Functions and Many-to-One Codes Between Subshifts

DOI10.2307/2000558zbMath0617.28019OpenAlexW4235322734MaRDI QIDQ4726508

Peter Walters

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000558

zbMATH Keywords

quotient mapsliftingcodeequilibrium stateMarkov measurepressure functioncontinuous surjectioncompensation functiontopologically mixing subshifts of finite type

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Ergodic theory (37A99) Measure-theoretic ergodic theory (28D99)

Related Items (16)

Measures of maximal relative entropy with full support ⋮ On entropy production of repeated quantum measurements. II: Examples ⋮ Multiplicity structure of preimages of invariant measures under finite-to-one factor maps ⋮ Relative pressure functions and their equilibrium states ⋮ Equilibrium states for factor maps between subshifts ⋮ Shannon-McMillan-Breiman theorem along almost geodesics in negatively curved groups ⋮ Dynamical intricacy and average sample complexity ⋮ On generalized compensation functions for factor maps between shift spaces on countable alphabets ⋮ Class degree and relative maximal entropy ⋮ On regularity of functions of Markov chains ⋮ Dimensions of compact invariant sets of some expanding maps ⋮ Thermodynamic formalism for coarse expanding dynamical systems ⋮ Relative entropy functions for factor maps between subshifts ⋮ On a class of sofic affine invariant subsets of the 2-torus related to an Erdős problem ⋮ Equivalence of relative Gibbs and relative equilibrium measures for actions of countable amenable groups ⋮ Gibbs posterior convergence and the thermodynamic formalism

Cites Work

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• Conditional pressure and coding
• Equilibrium States of Grid Functions
• Transmission rates and factors of Markov chains
• Infinite-to-One Codes and Markov Measures
• Ruelle's Operator Theorem and g-Measures
• Invariant Measures and Equilibrium States for Some Mappings which Expand Distances
• A Relativised Variational Principle for Continuous Transformations
• Endomorphisms and automorphisms of the shift dynamical system
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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