Harmonic averages and new explicit constants for invariant densities of piecewise expanding maps of the interval

DOI10.1007/S10955-012-0425-XzbMath1268.37041OpenAlexW2062225322MaRDI QIDQ411510

Harald Proppe, Zhenyang Li, Góra, Paweł, Boyarski, Abraham

Publication date: 4 April 2012

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://spectrum.library.concordia.ca/976824/1/gora2012c.pdf

zbMATH Keywords

absolutely continuous invariant measuresexplicit constants for rate of convergenceharmonic average of slopeslower bound for invariant densitypiecewise expanding maps of interval

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems involving maps of the interval (37E05)

Related Items (1)

Toward a mathematical holographic principle

Cites Work

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• Stochastic stability in some chaotic dynamical systems
• Decay of correlations for piecewise expanding maps.
• Decay of correlations
• Stronger Lasota-Yorke inequality for one-dimensional piecewise expanding transformations
• Singular limits of absolutely continuous invariant measures for families of transitive maps
• Family of piecewise expanding maps having singular measure as a limit of ACIMs
• INTERVAL MAPS WITH STRICTLY CONTRACTING PERRON–FROBENIUS OPERATORS

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