Subsystem entropy for \(\mathbb {Z}^{d}\) sofic shifts

DOI10.1016/S0019-3577(06)80037-6zbMath1104.37006MaRDI QIDQ855785

Angela Desai

Publication date: 7 December 2006

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

subsystemstopological entropyshift of finite type

Mathematics Subject Classification ID

Topological entropy (37B40) Symbolic dynamics (37B10)

Related Items (16)

Topological entropy for shifts of finite type over \(\mathbb{Z}\) and trees ⋮ ON THE DENSE ENTROPY OF TWO-DIMENSIONAL INHOMOGENEOUS CELLULAR NEURAL NETWORKS ⋮ A class of $\mathbb {Z}^d$ shifts of finite type which factors onto lower entropy full shifts ⋮ Quantifier extensions of multidimensional sofic shifts ⋮ Parametrization by horizontal constraints in the study of algorithmic properties of \(\mathbb{Z}^2\)-subshifts of finite type ⋮ Seas of squares with sizes from a \(\Pi_{1}^{0}\) set ⋮ Boundary complexity and surface entropy of 2-multiplicative integer systems on Nd ⋮ Countable sofic shifts with a periodic direction ⋮ Topological entropy and sequence entropy for Hom tree-shifts on unexpandable trees ⋮ Mixing properties of tree-shifts ⋮ Subsystem entropies of shifts of finite type and sofic shifts on countable amenable groups ⋮ A class of nonsofic multidimensional shift spaces ⋮ Approximating the hard square entropy constant with probabilistic methods ⋮ A characterization of the entropies of multidimensional shifts of finite type ⋮ Multidimensional sofic shifts without separation and their factors ⋮ shifts of finite type without equal entropy full shift factors

Cites Work

• Sofic systems
• Ergodic theory on compact spaces
• Finite uniform generators for ergodic, finite entropy, free actions of amenable groups
• Morphisms from non-periodic $\mathbb{Z}^2$ subshifts II: constructing homomorphisms to square-filling mixing shifts of finite type
• Transmission rates and factors of Markov chains
• 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
• On the subsystems of topological Markov chains
• An Introduction to Symbolic Dynamics and Coding

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