Independence entropy of \(\mathbb{Z}^{d}\)-shift spaces

DOI10.1007/s10440-013-9819-2zbMath1329.37021OpenAlexW334093148MaRDI QIDQ368703

Erez Louidor, Ronnie Pavlov, Brian Marcus

Publication date: 23 September 2013

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-013-9819-2

zbMATH Keywords

entropysofic shiftshift of finite typeunconstrained positions

Mathematics Subject Classification ID

Information theory (general) (94A15) Symbolic dynamics (37B10)

Related Items (12)

Capacity of Higher-Dimensional Constrained Systems ⋮ On independence and entropy for high-dimensional isotropic subshifts ⋮ Entropy on regular trees ⋮ Fekete's lemma for componentwise subadditive functions of two or more real variables ⋮ Quantifier extensions of multidimensional sofic shifts ⋮ Asymptotic pressure on some self-similar trees ⋮ Parametrization by horizontal constraints in the study of algorithmic properties of \(\mathbb{Z}^2\)-subshifts of finite type ⋮ On mixing properties of Markov tree-shifts ⋮ Characterization and topological behavior of homomorphism tree-shifts ⋮ Extender sets and measures of maximal entropy for subshifts ⋮ Commutativity of entropy for nonautonomous systems on trees ⋮ Extracting invariants of conjugacy from independence entropy

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the entropy of \(\mathbb{Z}^d\) subshifts of finite type
• Ergodic theory and statistical mechanics
• A characterization of the entropies of multidimensional shifts of finite type
• Zero capacity region of multidimensional run length constraints
• The statistics of dimers on a lattice
• Tradeoff functions for constrained systems with unconstrained positions
• Multidimensional cellular automata and generalization of Fekete's lemma
• Constrained Codes as Networks of Relations
• Independent Sets in Regular Hypergraphs and Multidimensional Runlength-Limited Constraints
• Constrained systems with unconstrained positions
• On Phase Transition in the Hard-Core Model on ${\mathbb Z}^d$
• An Introduction to Symbolic Dynamics and Coding
• Improved Lower Bounds on Capacities of Symmetric 2D Constraints Using Rayleigh Quotients
• The undecidability of the domino problem

This page was built for publication: Independence entropy of \(\mathbb{Z}^{d}\)-shift spaces