Constraints on the degree of a sofic homomorphism and the induced multiplication of measures on unstable sets

DOI10.1007/BF02772669zbMath0595.28025MaRDI QIDQ1077569

Mike Boyle

Publication date: 1986

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

entropysubshift of finite typebounded to one homomorphismsirreducible sofic system

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Entropy and other invariants (28D20)

Related Items

Cylindrical cellular automata ⋮ Permutation cellular automata ⋮ Degrees of finite-to-one factor maps ⋮ Nondegenerate 𝑞-biresolving textile systems and expansive automorphisms of onesided full shifts ⋮ Automorphisms of the shift: Lyapunov exponents, entropy, and the dimension representation ⋮ Divisibility Constraints on Degrees of Factor Maps ⋮ Structure of transition classes for factor codes on shifts of finite type ⋮ Degrees of Constant-to-One Factor Maps ⋮ Core dimension group constraints for factors of sofic shifts

Cites Work

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• A Note on Minimal Covers for Sofic Systems
• Periodic Points and Automorphisms of the Shift
• Topological Markov chains with dicyclic dimension group.
• Endomorphisms of irreducible subshifts of finite type
• Topological entropy and equivalence of dynamical systems
• Endomorphisms and automorphisms of the shift dynamical system