Infinite measures on Cantor spaces

DOI10.1080/10236198.2011.620955zbMath1242.37003arXiv1102.1072OpenAlexW2030845748MaRDI QIDQ2881940

Olena Karpel

Publication date: 3 May 2012

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.1072

zbMATH Keywords

invariant measuresCantor spaceBratteli diagramsinfinite Borel measures

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Related Items (3)

Measures on Cantor sets: The good, the ugly, the bad ⋮ Invariant measures for Cantor dynamical systems ⋮ Monic representations of the Cuntz algebra and Markov measures

Cites Work

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• Homeomorphic measures on stationary Bratteli diagrams
• Homeomorphic measures in the Hilbert cube
• Measure-preserving homeomorphisms and metrical transitivity
• Finite rank Bratteli diagrams: Structure of invariant measures
• A pair of non-homeomorphic product measures on the Cantor set
• Four Topologically Equivalent Measures in the Cantor Space
• Invariant measures on stationary Bratteli diagrams
• On homeomorphic Bernoulli measures on the Cantor space
• Aperiodic substitution systems and their Bratteli diagrams
• Topologically Equivalent Measures in the Cantor Space
• Good measures on Cantor space
• WEAK ORBIT EQUIVALENCE OF CANTOR MINIMAL SYSTEMS
• A characterization of homeomorphic Bernoulli trial measures
• Which Bernoulli measures are good measures?

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