Dynamical properties of the Pascal adic transformation
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[1] S. Kakutani,et al. Invariant measures and orbits of dissipative transformations , 1972 .
[2] B. Pitskel,et al. Poisson limit law for Markov chains , 1991, Ergodic Theory and Dynamical Systems.
[3] F. Paccaut. Statistics of return times for weighted maps of the interval , 2000 .
[4] Richard C. Bollinger,et al. Lucas's theorem and some related results for extended pascal triangles , 1990 .
[5] M. Queffélec. Substitution dynamical systems, spectral analysis , 1987 .
[6] Sébastien Ferenczi,et al. Rank and symbolic complexity , 1996, Ergodic Theory and Dynamical Systems.
[7] Sébastien Ferenczi,et al. Complexity of sequences and dynamical systems , 1999, Discret. Math..
[8] A. N. Livshits. A sufficient condition for weak mixing of substitutions and stationary adic transformations , 1988 .
[9] Valentin Afraimovich,et al. Local dimensions for Poincaré recurrences , 2000 .
[10] Boris Solomyak,et al. On the spectral theory of adic transformations , 1992 .
[11] 伊藤 俊次. A construction of transversal flows for maximal Markov automorphisms = マルコフ変換に対する横断的流れの横成の研究 , 1979 .
[12] INVARIANT COCYCLES, RANDOM TILINGS AND THE SUPER-K AND STRONG MARKOV PROPERTIES , 1997 .
[13] É. Lucas. Theorie des Fonctions Numeriques Simplement Periodiques , 1878 .
[14] J. Cassaigne,et al. Complexity and growth for polygonal billiards , 2001, math/0109208.
[15] K. Petersen. Disjointness and weak mixing of minimal sets , 1970 .
[16] Xavier Méla. A class of nonstationary adic transformations , 2006 .
[17] Christian F. Skau,et al. Substitutional dynamical systems, Bratteli diagrams and dimension groups , 1999, Ergodic Theory and Dynamical Systems.
[18] A. Forrest. K-groups associated with substitution minimal systems , 1997 .
[19] Timo Jolivet,et al. Substitutions , 2002, Peach State.
[20] Z. Coelho. ASYMPTOTIC LAWS FOR SYMBOLIC DYNAMICAL SYSTEMS , 2005 .
[21] P. Halmos. Lectures on ergodic theory , 1956 .
[22] Shunji Ito. A Construction of Transversal Flows for Maximal Markov Automorphisms , 1978 .
[23] Anatoly M. Vershik,et al. Adic models of ergodic transformations, spectral theory, substitutions, and related topics , 1992 .
[24] On fluctuations and the exponential statistics of return times , 2001 .
[25] Y. Lacroix. Possible limit laws for entrance times of an ergodic aperiodic dynamical system , 2002 .
[26] A. Maass,et al. Limit laws of entrance times for low-complexity Cantor minimal systems , 2001, 0808.0602.
[27] K. Schmidt,et al. Symmetric Gibbs measures , 1996, math/9604240.
[28] A. Vershik,et al. A theorem on the Markov periodic approximation in ergodic theory , 1985 .
[29] S. Ferenczi. Systems of finite rank , 1997 .
[30] A. Vershik,et al. Asymptotic of the largest and the typical dimensions of irreducible representations of a symmetric group , 1985 .
[31] Eigenvalue theorems in topological transformation groups , 1969 .
[32] E. Janvresse,et al. The Pascal adic transformation is loosely Bernoulli , 2004 .
[33] I. Putnam,et al. Ordered Bratteli diagrams, dimension groups and topological dynamics , 1992 .
[34] Anatoly M. Vershik,et al. Asymptotic theory of characters of the symmetric group , 1981 .
[35] Karl Petersen,et al. Information Compression and Retention in Dynamical Processes , 2002 .
[36] P. Collet,et al. ASYMPTOTIC DISTRIBUTION OF ENTRANCE TIMES FOR EXPANDING MAPS OF THE INTERVAL , 1995 .
[37] Tail-fields of products of random variables and ergodic equivalence relations , 1999, Ergodic Theory and Dynamical Systems.
[38] François Blanchard,et al. SUBSTITUTION SUBSHIFTS AND BRATTELI DIAGRAMS , 2000 .