Infinite-to-One Codes and Markov Measures

DOI10.2307/1999457zbMath0515.28011OpenAlexW4235113249MaRDI QIDQ3661853

Mike Boyle, Selim Tuncel

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/1999457

zbMATH Keywords

pressureBernoulli shiftsMarkov measuresinfinite-to-one continuous codes between subshifts of finite typeMarkovian code

Mathematics Subject Classification ID

Related Items (23)

Block codes for Bernoulli shifts ⋮ Relative Pressure, Relative Equilibrium States, Compensation Functions and Many-to-One Codes Between Subshifts ⋮ Regular isomorphism of Markov chains is almost topological ⋮ Bi-resolving graph homomorphisms and extensions of bi-closing codes ⋮ Relative pressure functions and their equilibrium states ⋮ Equilibrium states for factor maps between subshifts ⋮ Dynamical intricacy and average sample complexity ⋮ Transitive action on finite points of a full shift and a finitary Ryan’s theorem ⋮ Decomposition of infinite-to-one factor codes and uniqueness of relative equilibrium states ⋮ Computing degree and class degree ⋮ Weak equivalence for shifts of finite type ⋮ Subsystems, Perron numbers, and continuous homomorphisms of Bernoulli shifts ⋮ On generalized compensation functions for factor maps between shift spaces on countable alphabets ⋮ Class degree and relative maximal entropy ⋮ Markov measures determine the zeta function ⋮ Periodic points for onto cellular automata ⋮ Dimensions of compact invariant sets of some expanding maps ⋮ On semi-open codes and bi-continuing almost everywhere codes ⋮ Relative entropy functions for factor maps between subshifts ⋮ Loss of Gibbs property in one-dimensional mixing shifts of finite type ⋮ On the existence of open and bi-continuing codes ⋮ On a class of sofic affine invariant subsets of the 2-torus related to an Erdős problem ⋮ On the Clustering Conjecture for Bernoulli Factors of Bernoulli Shifts

Cites Work

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• Conditional pressure and coding
• Ergodic theory on compact spaces
• Entropies and factorizations of topological Markov shifts
• Lower entropy factors of sofic systems
• Linear algebra and subshifts of finite type
• Transmission rates and factors of Markov chains
• Sofic systems and encoding data
• On the Stochastic and Topological Structure of Markov Chains
• An Invariant for Continuous Factors of Markov Shifts
• Endomorphisms of irreducible subshifts of finite type
• A Finitary Classification of Topological Markov Chains and Sofic Systems
• Examples for the Nonuniqueness of the Equilibrium State
• Topological entropy and equivalence of dynamical systems
• On the subsystems of topological Markov chains
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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