Reference : A note on abelian returns in rotation words

	Document type :	E-prints/Working papers : First made available on ORBi
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/2268/135708

Title :	A note on abelian returns in rotation words
Language :	English
Author, co-author :	Rampersad, Narad []
	Rigo, Michel [Université de Liège - ULg > Département de mathématique > Mathématiques discrètes >]
	Salimov, Pavel [Université de Liège - ULg > Département de mathématique > Mathématiques discrètes >]
Publication date :	Undated
Keywords :	[en] combinatorics on words ; rotation words ; abelian returns
Abstract :	[en] Pursuing the study started by Rigo, Salimov and Vandomme, we use elementary number-theoretic techniques to characterize rotation words having a finite set of abelian returns to all prefixes. We also make the connection between the three gap theorem and the number of semi-abelian returns for Sturmian words, simplifying some arguments developed by Puzynina and Zamboni.
Target :	Researchers
Permalink :	http://hdl.handle.net/2268/135708

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