Book Review: Fine structure of hyperbolic diffeomorphisms

DOI10.1090/S0273-0979-2010-01284-2zbMath1292.00019OpenAlexW2316306485MaRDI QIDQ5494766

Welington De Melo

Publication date: 29 July 2014

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

Full work available at URL: https://doi.org/10.1090/s0273-0979-2010-01284-2

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Invariant manifold theory for dynamical systems (37D10) Dynamical systems involving maps of the interval (37E05) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) External book reviews (00A17) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Cites Work

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• The Teichmüller space of an Anosov diffeomorphism of \(T^ 2\)
• Invariants for smooth conjugacy of hyperbolic dynamical systems. IV
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• Feigenbaum-Coullet-Tresser universality and Milnor's hairiness conjecture
• Quantitative universality for a class of nonlinear transformations
• Rigidity of \(C^2\) infinitely renormalizable unimodal maps
• Global hyperbolicity of renormalization for \(C^r\) unimodal mappings
• Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms
• Smoothness of conjugacies of diffeomorphisms of the circle with rotations
• Expanding endomorphisms of the circle revisited
• Conjugaison différentiable des difféomorphismes du cercle dont le nombre de rotation vérifie une condition diophantienne
• On the geometry and dynamics of diffeomorphisms of surfaces
• Combinatorics of Train Tracks. (AM-125)
• Frontiers in complex dynamics
• Renormalization and 3-Manifolds Which Fiber over the Circle
• Differentiable dynamical systems
• Markov Partitions for Axiom A Diffeomorphisms
• Expanding attractors
• Expanding attractors

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