Singular limits of absolutely continuous invariant measures for families of transitive maps

DOI10.1080/10236198.2011.590480zbMath1251.37044OpenAlexW2017527475MaRDI QIDQ2881942

Peyman Eslami, Michał Misiurewicz

Publication date: 3 May 2012

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

Full work available at URL: https://doi.org/10.1080/10236198.2011.590480

zbMATH Keywords

absolutely continuous invariant measureinterval maps

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Dynamical systems involving maps of the interval (37E05)

Related Items (7)

Harmonic averages and new explicit constants for invariant densities of piecewise expanding maps of the interval ⋮ Free Energy and Equilibrium States for Families of Interval Maps ⋮ Harmonic average of slopes and the stability of absolutely continuous invariant measure ⋮ Invariant densities for random systems of the interval ⋮ Instability of the isolated spectrum for W-shaped maps ⋮ W-LIKE MAPS WITH VARIOUS INSTABILITIES OF ACIM'S ⋮ Stronger Lasota-Yorke inequality for one-dimensional piecewise expanding transformations

Cites Work

• Stochastic stability in some chaotic dynamical systems
• Continuity of the measure of maximal entropy for unimodal maps on the interval
• Sensitive dependence on parameters
• Linear response formula for piecewise expanding unimodal maps

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