Maria Rita Iacò, Wolfgang Steiner, Robert F. Tichy
Published 2016-04-25Version 1
The aim of this paper is to study the connection between different properties related to $\beta$-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 $\beta$-numerations.
Sets of beta-expansions and the Hausdorff Measure of Slices through Fractals
Sets of vector fields with various properties of shadowing of pseudotra-jectories
Conditions on the continuity of the Hausdorff measure
![QR code for arXiv:1604.07223 [math.DS]](http://oss.arxitics.com/images/favicon.svg)