Extremal properties of (epi)Sturmian sequences and distribution modulo $1$

Autor:	Amy Glen, Jean-Paul Allouche
Rok vydání:	2010
Předmět:	Discrete mathematics Combinatorics Extremal combinatorics Combinatorics on words Distribution (number theory) Modulo Connection (mathematics) Mathematics Real number
Zdroj:	L’Enseignement Mathématique. 56:365-401
ISSN:	0013-8584
DOI:	10.4171/lem/56-3-5
Popis:	Starting from a study of Y. Bugeaud and A. Dubickas (2005) on a question in distribution of real numbers modulo 1 via combinatorics on words, we survey some combinatorial properties of (epi)Sturmian sequences and distribution modulo 1 in connection to their work. In particular we focus on extremal properties of (epi)Sturmian sequences, some of which have been rediscovered several times.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::610a49ce74414ee24841ba1d39ac8788 https://doi.org/10.4171/lem/56-3-5 Zobrazit plný text záznamu