Linear recursive odometers and beta-expansions
Dynamical Systems
2016-04-27 v2
Abstract
The aim of this paper is to study the connection between different properties related to -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 -odometers and the second one is denoted by (QM) and it has been introduced in the framework of tilings associated to Pisot -numerations.
Cite
@article{arxiv.1604.07223,
title = {Linear recursive odometers and beta-expansions},
author = {Maria Rita Iacò and Wolfgang Steiner and Robert F. Tichy},
journal= {arXiv preprint arXiv:1604.07223},
year = {2016}
}