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Uniform distribution theory

The Journal of Slovak Academy of Sciences

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Mathematical Citation Quotient (MCQ) 2016: 0.40


Emerging Science

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2309-5377
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Linear Recursive Odometers and Beta-Expansions

Maria Rita Iacò / Wolfgang Steiner / Robert F. Tichy
Published Online: 2017-01-13 | DOI: https://doi.org/10.1515/udt-2016-0010

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.

Keywords: beta-expansions; odometer; purely discrete spectrum; finiteness property

MSC 2010: 11A63; 11K16; 11B37; 28D05

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About the article

Received: 2016-04-14

Accepted: 2016-04-26

Published Online: 2017-01-13

Published in Print: 2016-06-01


Citation Information: Uniform distribution theory, Volume 11, Issue 1, Pages 175–186, ISSN (Online) 2309-5377, DOI: https://doi.org/10.1515/udt-2016-0010.

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© 2016 Maria Rita Iacò et al., published by De Gruyter Open. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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