A Special Case of the Binary S-adic Pisot Conjecture

Yasushi Nagai (Shinshu U)

Apr 25. 2025, 10:00 — 10:30

It is conjectured that the dynamical spectra of substitutive words satisfying the Pisot condition are pure point. This conjecture has been studied mainly for words generated by a single substitution. In this talk, we extend the discussion to words generated by a family of substitutions, known as S-adic words. We will prove that words in a certain class of binary S-adic words satisfying the Pisot condition also have pure point spectra.

Further Information
Venue:
ESI Boltzmann Lecture Hall
Recordings:
Recording
Associated Event:
Uniform Distribution of Sequences (Workshop)
Organizer(s):
Henk Bruin (U of Vienna)
Robbert Fokkink (TU Delft)
Jörg Thuswaldner (Montanuniversität Leoben)