On independence and entropy for high-dimensional isotropic subshifts

DOI10.1112/plms/pdu029zbMath1358.37037arXiv1112.1351OpenAlexW2169031704MaRDI QIDQ2930132

Tom Meyerovitch, Ronnie Pavlov

Publication date: 18 November 2014

Published in: Proceedings of the London Mathematical Society, Proceedings of the London Mathematical Society. Third Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.1351

zbMATH Keywords

isotropic measuresalphabetBernoulli extensionisotropic \(\mathbb {Z}^d\) subshifts

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Topological entropy (37B40) Symbolic dynamics (37B10)

Related Items (10)

Capacity of Higher-Dimensional Constrained Systems ⋮ Rigidity of 3-colorings of the discrete torus ⋮ Entropy on regular trees ⋮ Quantifier extensions of multidimensional sofic shifts ⋮ Asymptotic pressure on some self-similar trees ⋮ On mixing properties of Markov tree-shifts ⋮ Rigidity of proper colorings of \(\mathbb{Z}^d \) ⋮ Characterization and topological behavior of homomorphism tree-shifts ⋮ Commutativity of entropy for nonautonomous systems on trees ⋮ Extracting invariants of conjugacy from independence entropy

Cites Work

• Independence entropy of \(\mathbb{Z}^{d}\)-shift spaces
• \(H\)-coloring tori
• Ergodic theory and statistical mechanics
• Finite exchangeable sequences
• The Abramov-Rokhlin entropy addition formula for amenable group actions
• Zero capacity region of multidimensional run length constraints
• The cohomology of higher-dimensional shifts of finite type
• High-dimensional Lipschitz functions are typically flat
• Ergodic optimization
• Symmetric Measures on Cartesian Products
• Tradeoff functions for constrained systems with unconstrained positions
• On the uniqueness of the equilibrium state
• A Variational Principle for the Pressure of Continuous Transformations
• Non-uniqueness of measures of maximal entropy for subshifts of finite type
• Independent Sets in Regular Hypergraphs and Multidimensional Runlength-Limited Constraints
• On Phase Transition in the Hard-Core Model on ${\mathbb Z}^d$
• Improved Lower Bounds on Capacities of Symmetric 2D Constraints Using Rayleigh Quotients
• Entropy-Expansive Maps

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