Numeration systems with alternating real bases

Cisternino, Célia

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Numeration systems with alternating real bases

Cisternino, Célia

2019 • Workshop Expansions and Substitutions

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https://hdl.handle.net/2268/235646

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Keywords :

Expansions; Alternate Bases; Greedy; Parry's Theorem; Subshift; Sofic

Abstract :

[en] During this presentatation, I introduice the new theory of the alternate bases. In this generalization of the beta-expansions, we use a p-tuple B₁,B₂,…,Bp as a base to represent any real number in [0,1]. Some properties are stated and so is the generalization of Parry's Theorem. Moreover, the subshift associated with the alternate bases is studied.

Disciplines :

Mathematics

Author, co-author :

Cisternino, Célia ; Université de Liège - ULiège > Département de mathématique > Mathématiques discrètes

Language :

English

Title :

Numeration systems with alternating real bases

Alternative titles :

[en] Systèmes de numération avec des bases réelles alternées

Publication date :

17 May 2019

Event name :

Workshop Expansions and Substitutions

Event place :

Utrecht, Netherlands

Event date :

17 mai 2019

By request :

Yes

Funders :

F.R.S.-FNRS - Fonds de la Recherche Scientifique

Available on ORBi :

since 20 May 2019

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