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On the structure of (−β)-integers

Published online by Cambridge University Press:  07 October 2011

Wolfgang Steiner
Wolfgang Steiner*
Affiliation:
LIAFA, CNRS, Université Paris Diderot – Paris 7, Case 7014, 75205 Paris Cedex 13, France.. steiner@liafa.jussieu.fr
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Abstract

The (−β)-integers are natural generalisations of the β-integers, and thus of the integers, for negative real bases. When β is the analogue of a Parry number, we describe the structure of the set of (−β)-integers by a fixed point of an anti-morphism.

Keywords

Beta expansionParry numberbeta-integermorphismsubstitution
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 46 , Issue 1: Special issue dedicated to the 13th "Journées Montoises d'Informatique Théorique" , January 2012 , pp. 181 - 200
Copyright
© EDP Sciences 2011

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