Pisot Substitution Conjecture and Rauzy Fractals
Dynamical Systems
2024-01-17 v1 Number Theory
Abstract
We provide a proof for one version of Pisot conjecture. We make use of the weak mixing property of the subshift of finite type derived from the prefix-suffix automaton to conclude that the substitution dynamical system has pure discrete spectrum.
Keywords
Cite
@article{arxiv.2401.07771,
title = {Pisot Substitution Conjecture and Rauzy Fractals},
author = {Kentaro Nakaishi},
journal= {arXiv preprint arXiv:2401.07771},
year = {2024}
}
Comments
29 pages, no figure