Harmonic average of slopes and the stability of absolutely continuous invariant measure

DOI10.1016/j.jmaa.2012.05.067zbMath1284.37029OpenAlexW2055490880MaRDI QIDQ450964

Zhenyang Li, Boyarski, Abraham, Góra, Paweł

Publication date: 26 September 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.05.067

zbMATH Keywords

absolutely continuous invariant measurespiecewise expanding maps of intervalstability of acim

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems involving maps of the interval (37E05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Cites Work

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• Stochastic stability in some chaotic dynamical systems
• W-LIKE MAPS WITH VARIOUS INSTABILITIES OF ACIM'S
• Stronger Lasota-Yorke inequality for one-dimensional piecewise expanding transformations
• Singular limits of absolutely continuous invariant measures for families of transitive maps
• Compactness of Invariant Densities for Families of Expanding, Piecewise Monotonic Transformations
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations
• Properties of invariant measures for piecewise expanding one-dimensional transformations with summable oscillations of derivative
• Family of piecewise expanding maps having singular measure as a limit of ACIMs

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