On the supports of absolutely continuous ergodic measures for piecewise monotonic transformations

DOI10.1016/0362-546X(84)90093-2zbMath0537.28006OpenAlexW1984739638MaRDI QIDQ3322349

Boyarski, Abraham

Publication date: 1984

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(84)90093-2

zbMATH Keywords

invariant densitiesabsolutely continuous invariant measurespiecewise monotonic transformationsnonexpanding maps of the interval

Mathematics Subject Classification ID

Measure-preserving transformations (28D05)

Cites Work

• On intrinsic ergodicity of piecewise monotonic transformations with positive entropy
• Sensitive dependence to initial conditions for one dimensional maps
• Applications conservant une mesure absolument continue par rapport à \(dx\) sur \([0,1\)]
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations
• Ergodic Transformations from an Interval Into Itself

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