Smooth classification of geometrically finite one-dimensional maps

DOI10.1090/S0002-9947-96-01487-0zbMath0871.58035OpenAlexW1500936776MaRDI QIDQ4890011

Yunping Jiang

Publication date: 6 October 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-96-01487-0

zbMATH Keywords

scaling functionsone-dimensional mapssmooth invariants

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Low-dimensional dynamical systems (37E99) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (8)

Anosov diffeomorphisms and \({\gamma}\)-tilings ⋮ Differential Rigidity and Applications in One-Dimensional Dynamics ⋮ Golden tilings ⋮ An asymptotic universal focal decomposition for non-isochronous potentials ⋮ A function model for the Teichmüller space of a closed hyperbolic Riemann surface ⋮ Quasisymmetric property for conjugacies between Anosov diffeomorphisms of the two-torus ⋮ Explosion of differentiability for equivalencies between Anosov flows on 3-manifolds ⋮ Metric invariants in dynamical systems

Cites Work

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• Invariants for smooth conjugacy of hyperbolic dynamical systems. IV
• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• Geometry of geometrically finite one-dimensional maps
• On Ulam-von Neumann transformations
• Presentation functions, fixed points, and a theory of scaling function dynamics.
• Expanding endomorphisms of the circle revisited

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