Stronger Lasota-Yorke inequality for one-dimensional piecewise expanding transformations

DOI10.1090/S0002-9939-2013-11676-XzbMath1366.37095OpenAlexW1964464830MaRDI QIDQ2855904

Góra, Paweł, Peyman Eslami

Publication date: 23 October 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2013-11676-x

zbMATH Keywords

unimodal mapLasota-Yorke inequalityperiodic turning point

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems involving maps of the interval (37E05) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10)

Related Items (6)

Harmonic averages and new explicit constants for invariant densities of piecewise expanding maps of the interval ⋮ Cramér distance and discretisations of circle expanding maps I: theory ⋮ Harmonic average of slopes and the stability of absolutely continuous invariant measure ⋮ The attractor of piecewise expanding maps of the interval ⋮ Asymptotics for the second-largest Lyapunov exponent for some Perron–Frobenius operator cocycles ⋮ On the fractional susceptibility function of piecewise expanding maps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stochastic stability in some chaotic dynamical systems
• W-LIKE MAPS WITH VARIOUS INSTABILITIES OF ACIM'S
• Singular limits of absolutely continuous invariant measures for families of transitive maps
• Approximating invariant densities of metastable systems
• On small stochastic perturbations of mappings of the unit interval
• Un exemple de transformation dilatante et C¹ par morceaux de l'intervalle, sans probabilité absolument continue invariante
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations
• Family of piecewise expanding maps having singular measure as a limit of ACIMs
• Multidimensional expanding maps with singularities: a pedestrian approach

This page was built for publication: Stronger Lasota-Yorke inequality for one-dimensional piecewise expanding transformations