Linear Recursive Odometers and Beta-Expansions-Reference-Cited by-同舟云学术

Linear Recursive Odometers and Beta-Expansions

Published:2016-06-01 Issue:1 Volume:11 Page:175-186
ISSN:2309-5377
Container-title:Uniform distribution theory
language:en
Short-container-title:

Author:

Iacò Maria Rita¹,Steiner Wolfgang¹,Tichy Robert F.²

Affiliation:

1. IRIF, CNRS UMR 8243, Université Paris Diderot – Paris 7, Case 7014, 75205 Paris Cedex 13, France

2. Graz University of Technology, Institute for Analysis and Number Theory, Steyrergasse 30, 8010 Graz, Austria

Abstract

Abstract 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 purely discrete spectrum of the odometer, is analyzed. 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.

Publisher

Walter de Gruyter GmbH

Reference15 articles.

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