arXiv subjects

Kentaro Nakaishi

Publications and source records attributed to Kentaro Nakaishi.

2 recordsLinked to original sources

arXiv2024

Pisot Substitution Conjecture and Rauzy Fractals

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.

math.DS↗

arXiv2023

Pisot conjecture and Rauzy fractals

We provide a proof of Pisot conjecture, a classification problem in Ergodic Theory on recurrent sequences generated by irreducible Pisot substitutions.

math.DS↗