On the critical dimension and AC entropy for Markov odometers

DOI10.1007/s00605-005-0372-6zbMath1104.37005OpenAlexW2055942513MaRDI QIDQ857847

Genevieve Mortiss, Anthony H. Dooley

Publication date: 5 January 2007

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-005-0372-6

zbMATH Keywords

invariantcritical dimensionnonhomogeneous Markov chainsinfinite product measuresnonsingular odometer actions

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Ergodic theory (37A99) Measure-theoretic ergodic theory (28D99)

Related Items (5)

Computing the critical dimensions of Bratteli–Vershik systems with multiple edges ⋮ Strong Law of Large Numbers for Countable Asymptotic Circular Markov Chains ⋮ The critical dimensions of Hamachi shifts ⋮ Non-singular -actions: an ergodic theorem over rectangles with application to the critical dimensions ⋮ On the critical dimensions of product odometers

Cites Work

• Unnamed Item
• Nonsingular dynamical systems, Bratteli diagrams and Markov odometers
• Convergence in the Cesàro sense and strong law of large numbers for nonhomogeneous Markov chains
• On the critical dimensions of product odometers
• On $G$-measures and product measures
• An invariant for non-singular isomorphism
• Average co-ordinate entropy
• Some Theorems Concerning the Strong Law of Large Numbers for Non- Homogeneous Markov Chains

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