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Journal Articles Annales de l'Institut Fourier Year : 2006

Dynamical Directions in Numeration

Abstract

We survey definitions and properties of numeration from a dynamical point of view. That is we focuse on numeration systems, their associated compactifications, and the dynamical systems that can be naturally defined on them. The exposition is unified by the notion of fibred numeration system. A lot of examples are discussed. Various numerations on natural, integral, real or complex numbers are presented with a special attention payed to beta-numeration and its generalisations, abstract numeration systems and shift radix systems. A section of applications ends the paper.
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Dates and versions

lirmm-00130853 , version 1 (27-02-2007)

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Valerie Berthe, Guy Barat, Jorg Thuswaldner, Pierre Liardet. Dynamical Directions in Numeration. Annales de l'Institut Fourier, 2006, 56, pp.1987-2092. ⟨10.5802/aif.2233⟩. ⟨lirmm-00130853⟩
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