A note on invariant measures for Markov maps of an interval

DOI10.1007/BF00534867zbMath0606.28013MaRDI QIDQ3744430

Piotr. Bugiel

Publication date: 1985

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

zbMATH Keywords

ergodic transformationsMarkov mapsabsolutely continuous invariant measuresexpanding conditionRényi's condition

Mathematics Subject Classification ID

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

Related Items (7)

Measures on periodic orbits for continuous transformations on the interval ⋮ Perron-Frobenius operators and the Klein-Gordon equation ⋮ Collapsing of chaos in one dimensional maps ⋮ Distortion inequality for a Markov operator generated by a randomly perturbed family of Markov maps in \(\mathbb{R}^d\) ⋮ A few problems connected with invariant measures of Markov maps -- verification of some claims and opinions that circulate in the literature ⋮ Ergodic properties of Markov maps in \(R^ d\) ⋮ Unnamed Item

Cites Work

• Invariant measures for Markov maps of the interval
• Approximation for the measures of ergodic transformations of the real line
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations

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