Differential Rigidity and Applications in One-Dimensional Dynamics

DOI10.1007/978-3-642-11456-4_31zbMath1253.37023OpenAlexW148795238MaRDI QIDQ2908446

Yunping Jiang

Publication date: 5 September 2012

Published in: Dynamics, Games and Science I (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-11456-4_31

zbMATH Keywords

critical pointshyperbolicsmooth systemsquasi-hyperbolicsmooth conjugacygeometrically finiteone-dimensional dynamical systemscircle endomorphismdifferential rigidity

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Generic properties, structural stability of dynamical systems (37C20)

Related Items (4)

Geometric Gibbs theory ⋮ Markov partitions, Martingale and symmetric conjugacy of circle endomorphisms ⋮ A function model for the Teichmüller space of a closed hyperbolic Riemann surface ⋮ Explosion of differentiability for equivalencies between Anosov flows on 3-manifolds

Cites Work

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• Differentiability and rigidity of Möbius groups
• Geometry of geometrically finite one-dimensional maps
• On Ulam-von Neumann transformations
• A function model for the Teichmüller space of a closed hyperbolic Riemann surface
• Expanding endomorphisms of the circle revisited
• Stable Orbits and Bifurcation of Maps of the Interval
• Explosion of smoothness from a point to everywhere for conjugacies between diffeomorphisms on surfaces
• Smooth classification of geometrically finite one-dimensional maps
• Endomorphisms of Compact Differentiable Manifolds
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)

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