Combinatorics, Automata and Number Theory: Infinite words with uniform frequencies, and invariant measures
暂无分享,去创建一个
[1] J. C. Oxtoby,et al. ERGODIC SETS , 2007 .
[2] W. Veech. Measures supported on the set of uniquely ergodic directions of an arbitrary holomorphic 1-form , 1999, Ergodic Theory and Dynamical Systems.
[3] E. A. Sataev. ON THE NUMBER OF INVARIANT MEASURES FOR FLOWS ON ORIENTABLE SURFACES , 1975 .
[4] Y. Katznelson,et al. ON UNIQUE ERGODICITY , 2005 .
[5] Fabien Durand,et al. Linearly recurrent subshifts have a finite number of non-periodic subshift factors , 2000, Ergodic Theory and Dynamical Systems.
[6] Jean-Christophe Yoccoz,et al. Continued Fraction Algorithms for Interval Exchange Maps: an Introduction ? , 2003 .
[7] M. Boshernitzan. A condition for minimal interval exchange maps to be uniquely ergodic , 1985 .
[8] Sébastien Ferenczi,et al. Structure of three-interval exchange transformations II: a combinatorial description of the tranjectories , 2003 .
[9] S. Ferenczi. Systems of finite rank , 1997 .
[10] Karl Petersen,et al. Dynamical properties of the Pascal adic transformation , 2003, Ergodic Theory and Dynamical Systems.
[11] Solomon Marcus,et al. Quasiperiodic infinite words : multi-scale case and dynamical properties , 2006 .
[12] H. Furstenberg,et al. Strict Ergodicity and Transformation of the Torus , 1961 .
[13] Hausdorff dimension for ergodic measures of interval exchange transformations , 2008, 0807.2231.
[14] Marina Ratner,et al. On Raghunathan’s measure conjecture , 1991 .
[15] Pascal Hubert,et al. Dichotomy for the Hausdorff dimension of the set of nonergodic directions , 2003, 0810.3956.
[16] Giuseppe Pirillo,et al. Episturmian words and some constructions of de Luca and Rauzy , 2001, Theor. Comput. Sci..
[17] A. Rosenthal. Strictly ergodic models for non-invertible transformations , 1988 .
[18] K. Sigmund,et al. Ergodic Theory on Compact Spaces , 1976 .
[19] M. Boshernitzan,et al. A unique ergodicity of minimal symbolic flows with linear block growth , 1984 .
[20] M. Boshernitzan,et al. A condition for unique ergodicity of minimal symbolic flows , 1992, Ergodic Theory and Dynamical Systems.
[21] H. Masur,et al. A divergent teichmüller geodesic with uniquely ergodic vertical foliation , 2005, math/0501296.
[22] M. Rahe,et al. Chacon’s automorphism has minimal self joinings , 1980 .
[23] W. Veech. THE METRIC THEORY OF INTERVAL EXCHANGE TRANSFORMATIONS I. GENERIC SPECTRAL PROPERTIES , 1984 .
[24] D. Rudolph. An example of a measure preserving map with minimal self-joinings, and applications , 1979 .
[25] H. Masur. Interval Exchange Transformations and Measured Foliations , 1982 .
[26] M. Keane,et al. Non-ergodic interval exchange transformations , 1977 .
[27] M. Ratner. Horocycle flows, joinings and rigidity of products , 1983 .
[28] Yitzhak Katznelson,et al. ON THE ENTROPY OF UNIQUELY ERGODIC TRANSFORMATIONS , 1967 .
[29] R. Cooke. Real and Complex Analysis , 2011 .
[30] Sébastien Ferenczi,et al. Rank and symbolic complexity , 1996, Ergodic Theory and Dynamical Systems.
[31] W. Veech. Gauss measures for transformations on the space of interval exchange maps , 1982 .
[32] W. Veech,et al. STRICT ERGODICITY IN ZERO DIMENSIONAL DYNAMICAL SYSTEMS AND THE KRONECKER-WEYL THEOREM MOD 20) , 2010 .
[33] B. Weiss. Subshifts of finite type and sofic systems , 1973 .
[34] Sébastien Ferenczi,et al. Structure of three-interval exchange transformations III: Ergodic and spectral properties , 2004 .
[35] Stefano Marmi,et al. Hölder Regularity of the Solutions of the Cohomological Equation for Roth Type Interval Exchange Maps , 2004, 1407.1776.
[36] Harvey B. Keynes,et al. A “minimal”, non-uniquely ergodic interval exchange transformation , 1976 .
[37] Howard Masur,et al. Hausdorff dimension of the set of nonergodic foliations of a quadratic differential , 1992 .
[38] de Ng Dick Bruijn. A combinatorial problem , 1946 .
[39] L. Zamboni,et al. Structure of K-interval exchange transformations: Induction, trajectories, and distance theorems , 2010 .