English

The $S$-adic Pisot conjecture on two letters

Dynamical Systems 2015-01-29 v1

Abstract

We prove an extension of the well-known Pisot substitution conjecture to the SS-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.

Cite

@article{arxiv.1501.07085,
  title  = {The $S$-adic Pisot conjecture on two letters},
  author = {Valérie Berthé and Milton Minervino and Wolfgang Steiner and Jörg Thuswaldner},
  journal= {arXiv preprint arXiv:1501.07085},
  year   = {2015}
}

Comments

11 pages. arXiv admin note: text overlap with arXiv:1410.0331

R2 v1 2026-06-22T08:14:49.442Z