Invariant measures for interval maps with different one-sided critical orders

DOI10.1017/etds.2013.62zbMath1355.37059OpenAlexW2170936677MaRDI QIDQ5262243

Hongfei Cui, Yiming Ding

Publication date: 13 July 2015

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/etds.2013.62

zbMATH Keywords

interval mapcritical orbitsinvariant probability measurewandering intervals

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving maps of the interval (37E05)

Related Items (1)

Pesin theory and equilibrium measures on the interval

Cites Work

• Absolutely continuous invariant measures for maps with flat tops
• Large derivatives, backward contraction and invariant densities for interval maps
• One-dimensional dynamics in the new millennium
• Invariant measures for interval maps with critical points and singularities
• Hyperbolicity, sinks and measure in one dimensional dynamics
• Absolutely continuous measures for certain maps of an interval
• Invariant measures exist without a growth condition
• Sinai-Ruelle-Bowen measures for contracting Lorenz maps and flows
• Invariant measures exist under a summability condition for unimodal maps
• Positive Liapunov exponents and absolute continuity for maps of the interval
• A connecting lemma for rational maps satisfying a no-growth condition
• The dynamics of perturbations of the contracting Lorenz attractor
• Distortion results and invariant Cantor sets of unimodal maps

This page was built for publication: Invariant measures for interval maps with different one-sided critical orders