We show that every subshift factor of the ()-shift is intrinsically ergodic, when and the ()-
expansion of 1 is not periodic with odd period. Moreover, the unique measure of maximal …

The finiteness property is an important arithmetical property of beta-expansions. We exhibit
classes of Pisot numbers β having the negative finiteness property, that is the set of finite …

We study finiteness property in numeration systems with cubic Pisot unit base. A base β> 1
is said to satisfy property (F), if the set Fin (β) of numbers with finite β-expansions forms a …

The aim of this paper is to prove that the strings of 0 in the (− β)-expansion of lβ=− β β+ 1
exhibit a lacunary bounded when β is an algebraic number greater than 1. This result …