Quasisymmetric property for conjugacies between Anosov diffeomorphisms of the two-torus
Quasisymmetric property for conjugacies between Anosov diffeomorphisms of the two-torus
摘要
We prove that the restrictions of the conjugacy between two Anosov diffeomorphisms of the twotorus to the stable and unstable manifolds are quasisymmetric homeomorphisms.
We prove that the restrictions of the conjugacy between two Anosov diffeomorphisms of the twotorus to the stable and unstable manifolds are quasisymmetric homeomorphisms.
参考文献24
-
1Mikhail Lyubich.Dynamics of quadratic polynomials, I–II[J]. Acta Mathematica . 1997 (2)
-
2Yunping Jiang.Markov partitions and Feigenbaum-like mappings[J]. Communications in Mathematical Physics . 1995 (2)
-
3Elise E. Cawley.The Teichmüller space of an Anosov diffeomorphism ofT 2[J]. Inventiones Mathematicae . 1993 (1)
-
4Yunping Jiang.Geometry of geometrically finite one-dimensional maps[J]. Communications in Mathematical Physics . 1993 (3)
-
5Hu H,Jiang M,Jiang Y.Infimum of the metric entropy of hyperbolic attractors with respect to the SRB measure. Discrete Contin Dyn Syst . 2008
-
6Jiang Y.Generalized Ulam-von Neumann transformations. . 1990
-
7Jiang Y.Renormalization and Geometry in One-Dimensional and Complex Dynamics. Advanced Series in Nonlinear Dynamics . 1996
-
8Jiang Y.Differentiable rigidity and smooth conjugacy. Annales Academiae Scientiarum Fennicae Series A1 Mathematica . 2005
-
9Jiang Y.Teichmller structures and dual geometric Gibbs type measure theory for continuous potentials. .
-
10Jiang Y.Function model of the Teichmller space of a closed hyperbolic Riemann surface. .
-
1章梅荣.Classification of C^1 Diffeomorphisms of the Real Line Under C^1 Conjugacy[J].Chinese Science Bulletin,1993,38(14):1145-1149.
-
2Xing-zhong YOU~1 Guo-hua QIAN~2 Wu-jie SHI~(3+) ~1 School of Mathematics and Computing Science,Changsha University of Science and Technology,Changsha 410076,China,~2 Department of Mathematics,Changshu Institute of Technology,Changshu 215500,China,~3 School of Mathematics,Suzhou University,Suzhou 215006,China.Finite groups in which elements of the same order outside the center are conjugate[J].Science China Mathematics,2007,50(10):1493-1500.
-
3孙文祥.TOPOLOGICAL ENTROPY FOR ANOSOV MAPS[J].Chinese Science Bulletin,1991,36(23):1948-1952.
-
4周作领,何伟弘.Level of the orbit's topological structure and topological semi-conjugacy[J].Science China Mathematics,1995,38(8):897-907. 被引量:5
-
5CUI GuiZhen 1, & TAN Lei 2 1 Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China,2 Laboratoire de Mathmatiques, UMR du CNRS 6093, Universit d’Angers, 2 bd. Lavoisier, 49045 Angers cedex 01, France.Distortion control of conjugacies between quadratic polynomials[J].Science China Mathematics,2010,53(3):625-634. 被引量:3
-
6龚光鲁,刘培东,钱敏.RUELLE'S INEQUALITY FOR THE ENTROPY OF RANDOM DIFFEOMORPHISMS[J].Science China Mathematics,1992,35(9):1056-1065.
-
7Yun Hua ZHOU.The Ergodicity of a Class of Almost Anosov Systems[J].Acta Mathematica Sinica,English Series,2013,29(1):193-198.
-
8彭贵爱.On the Dynamics of a Family of Meromorphic Functions[J].Chinese Science Bulletin,1993,38(2):94-96.
-
9刘培东,钱敏.Pesin's Entropy Formula and SBR-measures for Random Diffeomorphisms[J].Science China Mathematics,1993,36(8):940-956.
-
10李炳仁,林青.Notes on the Mapping Torus of C~*-Algebra[J].Chinese Science Bulletin,1993,38(2):97-99.