An Invariant for Continuous Factors of Markov Shifts

DOI10.2307/2044261zbMath0483.58010OpenAlexW4231154501MaRDI QIDQ3942093

Bruce P. Kitchens

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2044261

zbMATH Keywords

subshift of finite typezeta functiontopological entropyMarkov shiftfactor mapno equal-entropy continuous factor

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Entropy and other invariants (28D20) Entropy in general topology (54C70) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items

The spectra of topological Markov shifts ⋮ An invariant for bounded-to-one factor maps between transitive sofic subshifts ⋮ Eventual factor maps and compositions of closing maps ⋮ Infinite-to-One Codes and Markov Measures ⋮ Degrees of finite-to-one factor maps ⋮ Divisibility Constraints on Degrees of Factor Maps ⋮ Constant-to-one and onto global maps of homomorphisms between strongly connected graphs ⋮ Shift equivalence and the Jordan form away from zero ⋮ The weight-per-symbol polytope and scaffolds of invariants associated with Markov chains ⋮ Periodic points and finite group actions on shifts of finite type ⋮ Core dimension group constraints for factors of sofic shifts

Cites Work

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• Block Coding and a Zeta Function for Finite Markov Chains
• Topological entropy and equivalence of dynamical systems
• Intrinsic Markov Chains
• Endomorphisms and automorphisms of the shift dynamical system