Comptes Rendus
Dynamical Systems
S-adic conjecture and Bratteli diagrams
[Conjecture S-adique et les représentations de Bratteli]
Comptes Rendus. Mathématique, Volume 350 (2012) no. 21-22, pp. 979-983.

Dans cette Note nous utilisons une amélioration conséquente dʼun résultat de S. Ferenczi, concernant les sous-shifts S-adiques, afin dʼen trouver des représentations de Bratteli–Vershik.

In this Note we apply a substantial improvement of a result of S. Ferenczi on S-adic subshifts to give Bratteli–Vershik representations of these subshifts.

Reçu le :
Accepté le :
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DOI : 10.1016/j.crma.2012.10.015
Fabien Durand 1 ; Julien Leroy 1

1 Université de Picardie Jules-Verne, laboratoire amiénois de mathématiques fondamentales et appliquées, CNRS-UMR 7352, 33, rue Saint Leu, 80039 Amiens cedex, France
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Fabien Durand; Julien Leroy. S-adic conjecture and Bratteli diagrams. Comptes Rendus. Mathématique, Volume 350 (2012) no. 21-22, pp. 979-983. doi : 10.1016/j.crma.2012.10.015. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2012.10.015/

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[9] J. Leroy, Contribution à la résolution de la conjecture S-adique, PhD thesis, Univ. Picardie Jules Verne, 2011.

[10] J. Leroy Some improvements of the S-adic conjecture, Adv. Appl. Math., Volume 48 (2012), pp. 79-98

[11] J. Leroy, G. Richomme, A combinatorial proof of S-adicity for sequences with sub-affine complexity, preprint.

[12] M. Morse; G.A. Hedlund Symbolic dynamics, Amer. J. Math., Volume 60 (1938), pp. 815-866

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