The S-adic Pisot conjecture on two letters

Valérie Berthé (1) , Milton Minervino (2) , Wolfgang Steiner (1) , Jörg M. Thuswaldner (3)

1 LIAFA - Laboratoire d'informatique Algorithmique : Fondements et Applications
2 I2M - Institut de Mathématiques de Marseille
3 MUL - Montanuniversität Leoben

We prove an extension of the well-known Pisot substitution conjecture to the S-adic symbolic setting on two letters. The proof relies on the use of Rauzy fractals and on the fact that strong coincidences hold in this framework.

Domaines: Systèmes dynamiques [math.DS]

Valérie Berthé, Milton Minervino, Wolfgang Steiner, Jörg M. Thuswaldner. The S-adic Pisot conjecture on two letters . Topology and its Applications, 2016, 205, pp.47-57. ⟨10.1016/j.topol.2016.01.019⟩. ⟨hal-01385605⟩