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String attractors of some simple-Parry automatic sequences
Gheeraert, France; Romana, Giuseppe; Stipulanti, Manon
2024
 

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Keywords :
String attractors; Numeration systems; Parry numbers; Automatic sequences; Morphic sequences; Fibonacci word
Abstract :
[en] Firstly studied by Kempa and Prezza in 2018 as the cement of text compression algorithms, string attractors have become a compelling object of theoretical research within the community of combinatorics on words. In this context, they have been studied for several families of finite and infinite words. In this paper, we obtain string attractors of prefixes of particular infinite words generalizing k-bonacci words (including the famous Fibonacci word) and related to simple Parry numbers. In fact, our description involves the numeration systems classically derived from the considered morphisms. This extends our previous work published in the international conference WORDS 2023.
Disciplines :
Mathematics
Author, co-author :
Gheeraert, France  ;  Université de Liège - ULiège ; Radboud University Nijmegen [NL] > Mathematics
Romana, Giuseppe;  UniPa - Università degli Studi di Palermo [IT] > Dipartimento di Matematica e Informatica
Stipulanti, Manon  ;  Université de Liège - ULiège > Département de mathématique > Mathématiques discrètes
Language :
English
Title :
String attractors of some simple-Parry automatic sequences
Publication date :
2024
Funders :
F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]
Available on ORBi :
since 21 March 2024

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