Dynamiques associées à une échelle de numération

Acta Arithmetica

Volumn 103, Issue 1, 2002, Pages 41-78

  Barat, Guy ^a   Downarowicz, Tomasz ^b   Liardet, Pierre ^c  

^a Tech University of Wrocław ^*  (France)

^b WROCLAW UNIVERSITY OF TECHNOLOGY   (Poland)

^c AIX MARSEILLE UNIVERSITY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041330423     PISSN: 00651036     EISSN: None     Source Type: Journal    
DOI: 10.4064/aa103-1-5     Document Type: Article

References (13)

1. [ABS] J.-P. Allouche, J. Bétréma et J. Shallit, Sur des points fixes de morphismes d'un monoïde libre, RAIRO Inform. Théor. Appl. 23 (1989), 235-249.
2. [BDIL] G. Barat, T. Downarowicz, A. Iwanik et P. Liardet, Propriétés topologiques et combinatoires des échelles de numérations, Colloq. Math. 84/85 (2000), Part 2, 285-306.
3. [Bow] R. Bowen, Equilibrium States and the Ergodic Theory of Anosov Diffeomor- phisms, Lecture Notes in Math. 470, Springer, 1975.
4. [CW] H. A. Cameron and D. Wood, Pm numbers, ambiguity, and regularity, RAIRO Inform. Théor. Appl. 27 (1993), 261-275.
5. [Dou] M. Doudekova, Une famille d'odomètres faiblement mélangeants, C. R. Acad. Sci. Paris Sér. I 331 (2000), 633-636.
6. [Fra] A. S. Praenkel, Systems of numeration, Amer. Math. Monthly 92 (1985), 105- 114.
7. [GLT] P. J. Grabner, P. Liardet and R. F. Tichy, Odometers and systems of numeration, Acta Arith. 70 (1995), 103-123.
8. [Mi] D. P. Milman, Characteristics of extremal points of regularly convex spaces, Dokl. Akad. Nauk SSSR (N.B.) 57 (1947), 119-122.
9. [SV] N. Sidorov and A. M. Vershik, Arithmetic expansions associated with rotation of the circle and with continued fractions, Algebra i Analiz 5 (1993), 97-115 (in Russian); English transi.: St Petersburg Math. J. 5 (1994), 1121-1136.
10. [SV] N. Sidorov and A. M. Vershik, Arithmetic expansions associated with rotation of the circle and with continued fractions, Algebra i Analiz 5 (1993), 97-115 (in Russian); English transi.: St Petersburg Math. J. 5 (1994), 1121-1136.
11. [So] B. Solomyak, Substitutions, adic transformations and beta-expansions, in: Symbolic Dynamics and its Applications, P. Walters (ed.), Contemp. Math. 135, Amer. Math. Soc., 1992, 361-372.
12. [Ve] A. M. Vershik, Uniform algebraic approximation of the shift and multiplication operators, Dokl. Akad. Nauk SSSR 259 (1981), 526-529 (in Russian); English transi.: Soviet Math. Dokl. 24 (1981), 97-100.
13. [Ve] A. M. Vershik, Uniform algebraic approximation of the shift and multiplication operators, Dokl. Akad. Nauk SSSR 259 (1981), 526-529 (in Russian); English transi.: Soviet Math. Dokl. 24 (1981), 97-100.