Les transformations de Chacon : combinatoire, structure géométrique, lien avec les systèmes de complexité
Bulletin de la Société Mathématique de France (1995)
- Volume: 123, Issue: 2, page 271-292
- ISSN: 0037-9484
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topFerenczi, Sébastien. "Les transformations de Chacon : combinatoire, structure géométrique, lien avec les systèmes de complexité $2n+1$." Bulletin de la Société Mathématique de France 123.2 (1995): 271-292. <http://eudml.org/doc/87718>.
@article{Ferenczi1995,
author = {Ferenczi, Sébastien},
journal = {Bulletin de la Société Mathématique de France},
keywords = {Chacon's map; complexity; transformation; weakly mixing systems},
language = {fre},
number = {2},
pages = {271-292},
publisher = {Société mathématique de France},
title = {Les transformations de Chacon : combinatoire, structure géométrique, lien avec les systèmes de complexité $2n+1$},
url = {http://eudml.org/doc/87718},
volume = {123},
year = {1995},
}
TY - JOUR
AU - Ferenczi, Sébastien
TI - Les transformations de Chacon : combinatoire, structure géométrique, lien avec les systèmes de complexité $2n+1$
JO - Bulletin de la Société Mathématique de France
PY - 1995
PB - Société mathématique de France
VL - 123
IS - 2
SP - 271
EP - 292
LA - fre
KW - Chacon's map; complexity; transformation; weakly mixing systems
UR - http://eudml.org/doc/87718
ER -
References
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- [2] CHACON (R.V.). — Weakly mixing transformations which are not strongly mixing, Proc. Amer. Math. Soc., t. 22, 1969, p. 559-562. Zbl0186.37203MR40 #297
- [3] DEKKING (F.M.). — The spectrum of dynamical systems arising from substitutions of constant length, Zeit. Wahr., t. 41, 1978, p. 221-239. Zbl0348.54034MR57 #1455
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- [5] DEL JUNCO (A.) and RUDOLPH (D.J.). — A rank-one, rigid, simple, prime map, Ergodic Th. Dyn. Syst. 7, t. 2, 1987, p. 229-247. Zbl0634.54020MR88h:28016
- [6] FERENCZI (S.). — Systèmes de rang fini, Thèse d'Etat, Université d'Aix-Marseille 2, 1990.
- [7] FIELDSTEEL (A.). — An uncountable family of prime transformations not isomorphic to their inverses, preprint, vers 1980.
- [8] HERMAN (R.H.), PUTNAM (I.F.) and SKAU (C.F.). — Ordered Bratteli diagrams, dimension groups and topological dynamics, International J. of Maths 3, t. 6, 1992, p. 827-864. Zbl0786.46053MR94f:46096
- [9] HOST (B.). — Dimension groups and substitution dynamical systems, Prétirage du Laboratoire de Mathématiques Discrètes, 1994.
- [10] MOSSE (B.). — Notions de reconnaissabilité pour les substitutions et complexité des suites automatiques, soumis.
- [11] ORNSTEIN (D.S.). — On the root problem in ergodic theory, Proc. of the Sixth Berkeley Symposium in Mathematical Statistics and Probability, Univ. of California Press, 1970, p. 347-356. Zbl0262.28009MR53 #3259
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- Julien Cassaigne, Sébastien Ferenczi, Luca Q. Zamboni, Imbalances in Arnoux-Rauzy sequences
- L'ubomíra Balková, Edita Pelantová, Štěpán Starosta, Sturmian jungle (or garden?) on multiliteral alphabets
- Sébastien Ferenczi, Systems of finite rank
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