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Numeration systems with alternating real bases
Cisternino, Célia
2019Workshop Expansions and Substitutions
 

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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 :
Fédération Wallonie Bruxelles. Fonds de la Recherche Scientifique - F.R.S.-FNRS
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since 20 May 2019

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