Spatial determinism for a freeZ2-action

DOI10.1017/S0143385711000770zbMath1275.37009OpenAlexW2081607647MaRDI QIDQ2908142

Kyewon Koh Park, Robert M. jun. Burton

Publication date: 4 September 2012

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385711000770

zbMATH Keywords

\(\mathbb Z^2\)-actiondeterministic transformationspatial determinism

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Measure-preserving transformations (28D05) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamical systems and their relations with probability theory and stochastic processes (37A50)

Cites Work

• Reachability problems and abstract state spaces for time Petri nets with stopwatches
• The Shannon-McMillan-Breiman theorem for a class of amenable groups
• Entropy and isomorphism theorems for actions of amenable groups
• Every transformation is bilaterally deterministic
• Coupling surfaces and weak Bernoulli in one and higher dimensions
• Entropy dimension of topological dynamical systems
• An asymptotic definition of K-groups of automorphisms and a non-Bernoullian counter-example
• [https://portal.mardi4nfdi.de/wiki/Publication:5676460 Entropie d'un groupe ab�lien de transformations]

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