Quasisymmetric property for conjugacies between Anosov diffeomorphisms of the two-torus

DOI10.1007/S11425-010-0061-3zbMath1192.37035OpenAlexW2402969845MaRDI QIDQ973771

Yunping Jiang, Huyi Hu

Publication date: 26 May 2010

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-0061-3

zbMATH Keywords

conjugacyAnosov diffeomorphismsquasisymmetryMarkov partitionHölder condition

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20)

Cites Work

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• The Teichmüller space of an Anosov diffeomorphism of \(T^ 2\)
• Stability of under-compressive waves with second and fourth order diffusions
• Generic hyperbolicity in the logistic family
• Geometry of geometrically finite one-dimensional maps
• Dynamics of quadratic polynomials. I, II
• Markov partitions and Feigenbaum-like mappings
• Rigidity for real polynomials
• Smooth classification of geometrically finite one-dimensional maps
• Similarity of automorphisms of the torus
• Invariant manifolds
• There are No New Anosov Diffeomorphisms on Tori

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