Ito-Sadahiro numbers vs. Parry numbers

Acta Polytechnica

Z. Masáková¹  E. Pelantová¹ 

关键词: numeration systems;    negative base;    Pisot number;    Parry number;   

DOI  :  

来源: Czech Technical University in Prague, Faculty of M

【 摘 要 】

We consider a positional numeration system with a negative base, as introduced by Ito and Sadahiro. In particular, we focus on the algebraic properties of negative bases−βfor which the corresponding dynamical system is sofic, which happens, according to Ito and Sadahiro, if and only if the(−β) -expansion of−β / (β + 1)is eventually periodic. We call such numbers β Ito-Sadahiro numbers, and we compare their properties with those of Parry numbers, which occur in the same context for the Rényi positive base numeration system.

【 授权许可】

Unknown