2016/04/25 by Iacò, Maria Rita, Steiner, Wolfgang, Tichy, Robert F. · 1 citation
#Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.1604.07223
The aim of this paper is to study the connection between different properties related to β-expansions. In particular, the relation between two conditions, both ensuring pure discrete spectrum of the odometer, is analysed. The first one is the so-called Hypothesis B for the G-odometers and the second one is denoted by (QM) and it has been introduced in the framework of tilings associated to Pisot β-numerations.