$S$-adic conjecture and Bratteli diagrams

Fabien Durand (1) , Julien Leroy (1)

1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352

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.

Mots clés: Bratteli diagrams; $S$-adic sequence; sub-affine complexity

Domaines: Systèmes dynamiques [math.DS]

Fabien Durand, Julien Leroy. $S$-adic conjecture and Bratteli diagrams. Comptes Rendus. Mathématique, 2012, 350 (21-22), pp.979-983. ⟨hal-00738286⟩