Forty years of unimodal dynamics: on the occasion of Artur Avila winning the Brin Prize

DOI10.3934/JMD.2012.6.183zbMath1280.37036OpenAlexW2334964429WikidataQ56602639 ScholiaQ56602639MaRDI QIDQ456680

Mikhail Lyubich

Publication date: 16 October 2012

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jmd.2012.6.183

zbMATH Keywords

Julia setrenormalizationuniversalitycomplex dynamicsMandelbrot setunimodal mapkneading sequenceFeigenbaum maphybrid classhyperbolic mapquadratic familyquadratic-like mapstochastic map

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving maps of the interval (37E05) Universality and renormalization of dynamical systems (37E20) Dimension theory of smooth dynamical systems (37C45) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)

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