Multidimensional sofic shifts without separation and their factors
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Publication:4930014
DOI10.1090/S0002-9947-10-05003-8zbMath1207.37011MaRDI QIDQ4930014
Mike Boyle, Ronnie Pavlov, Michael Schraudner
Publication date: 27 September 2010
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Symbolic dynamics (37B10) General groups of measure-preserving transformations and dynamical systems (37A15)
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Cites Work
- Subsystem entropy for \(\mathbb {Z}^{d}\) sofic shifts
- A characterization of the entropies of multidimensional shifts of finite type
- On the dynamics and recursive properties of multidimensional symbolic systems
- Factors and extensions of full shifts
- Ergodic theory on compact spaces
- Tilings, substitution systems and dynamical systems generated by them
- Automorphisms of \(\mathbb Z^ d\)-subshifts of finite type
- Entropy along convex shapes, random tilings and shifts of finite type
- Undecidability and nonperiodicity for tilings of the plane
- Morphisms from non-periodic $\mathbb{Z}^2$ subshifts II: constructing homomorphisms to square-filling mixing shifts of finite type
- Lower entropy factors of sofic systems
- Bounded orbit injections and suspension equivalence for minimal $\mathbb{Z}^2$ actions
- shifts of finite type without equal entropy full shift factors
- Sofic systems and encoding data
- Non-uniqueness of measures of maximal entropy for subshifts of finite type
- Entropy gaps and locally maximal entropy in $\mathbb{Z}^d$ subshifts
- Morphisms from non-periodic \mathbb{Z}^{2} subshifts I: constructing embeddings from homomorphisms
- Subshifts of multi-dimensional shifts of finite type
- Entropy theory without a past
- On the subsystems of topological Markov chains
- On the structure of a sofic shift space
- On the Existence of Markov Partitions for Z d Actions
- An Introduction to Symbolic Dynamics and Coding
- A class of $\mathbb {Z}^d$ shifts of finite type which factors onto lower entropy full shifts
- group shifts and Bernoulli factors
- Factoring higher-dimensional shifts of finite type onto the full shift
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