Expansion properties of double standard maps

DOI10.1017/etds.2022.45arXiv2002.02019WikidataQ114118562 ScholiaQ114118562MaRDI QIDQ6172723

Ana Rodrigues, Michael Benedicks, Michał Misiurewicz

Publication date: 20 July 2023

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

Full work available at URL: https://arxiv.org/abs/2002.02019

zbMATH Keywords

expansionabsolutely continuous invariant measuredouble standards maps

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Dynamical systems involving maps of the interval (37E05)

Cites Work

• Unnamed Item
• The dynamics of the Hénon map
• Hyperbolicity and invariant measures for general \(C^ 2\) interval maps satisfying the Misiurewicz condition
• Large derivatives, backward contraction and invariant densities for interval maps
• On the tip of the tongue
• The parameter planes of \(\lambda z^m \exp(z)\) for \(m \geq 2\)
• Hyperbolicity, sinks and measure in one dimensional dynamics
• On iterations of \(1-\alpha x^2\) on \((-1,1)\)
• Absolutely continuous invariant measures for \(C^ 2\) unimodal maps satisfying the Collet-Eckmann conditions
• On the abundance of aperiodic behaviour for maps on the interval
• Absolutely continuous measures for certain maps of an interval
• Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
• Positive Lyapunov exponent for generic one-parameter families of unimodal maps
• Bounds for maps of an interval with one critical point of inflection type. II
• Universality of critical circle covers
• Double standard maps
• Connectedness of the Arnold tongues for double standard maps
• Expanding endomorphisms of the circle revisited
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations
• Decay of correlations in one-dimensional dynamics
• Non-generic cusps
• Kneading sequences for double standard maps
• Small denominators. I. Mappings of the circumference onto itself
• On invariant measures for expanding differentiable mappings

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