Maximal absolutely continuous invariant measures for piecewise linear Markov transformations

DOI10.1017/S0143385700005824zbMath0694.28009OpenAlexW2144847120MaRDI QIDQ3469325

Boyarski, Abraham, W. Byers, Góra, Paweł

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1017/s0143385700005824

zbMATH Keywords

dynamical systemsabsolutely continuous invariant measuremaximal entropymaximal measurespiecewise linear Markov transformations

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory (37A99)

Related Items

Iterated function systems and dynamical systems ⋮ A graph-theoretic bound on the number of independent absolutely continuous invariant measures

Cites Work

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• A graph-theoretic bound on the number of independent absolutely continuous invariant measures
• Invariant measures for Markov maps of the interval
• On intrinsic ergodicity of piecewise monotonic transformations with positive entropy
• Absolutely continuous measures for certain maps of an interval
• Absolutely Continuous Invariant Measures that are Maximal
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations
• Ruelle's Operator Theorem and g-Measures
• Intrinsic Markov Chains