Analytic skew-products of quadratic polynomials over Misiurewicz-Thurston maps

DOI10.3934/dcds.2014.34.2013zbMath1327.37011arXiv1207.2702OpenAlexW2962766038MaRDI QIDQ379859

Rui Gao, Wei Xiao Shen

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.2702

zbMATH Keywords

absolutely continuous invariant measureLyapunov exponentMisiurewicz-Thurston mapsnon-uniform expansionViana maps

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (1)

Viana maps driven by Benedicks-Carleson quadratic maps

Cites Work

• Complex dynamics
• Multidimensional nonhyperbolic attractors
• SRB measures for partially hyperbolic systems whose central direction is mostly expanding
• A survey of recent results on some statistical features of non-uniformly expanding maps
• Ergodic properties of Viana-like maps with singularities in the base dynamics
• Positive Lyapunov exponents for quadratic skew-products over a Misiurewicz–Thurston map
• Weakly expanding skew-products of quadratic maps
• Statistical stability for robust classes of maps with non-uniform expansion
• Symmetric S-unimodal mappings and positive Liapunov exponents
• Analytic skew products of quadratic polynomials over circle expanding maps
• SRB measures for non-hyperbolic systems with multidimensional expansion
• Non-continuous weakly expanding skew-products of quadratic maps with two positive Lyapunov exponents
• Dynamics in One Complex Variable. (AM-160)

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