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

J-P. Allouche; A. Glen

doi:10.4171/LEM/56-3-5

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

Journal article

Open access

Peer reviewed

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

J-P. Allouche and A. Glen

L’Enseignement Mathématique, Vol.56, pp.365-401

2010

DOI: https://doi.org/10.4171/LEM/56-3-5

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Abstract

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.

Details

Title: Extremal properties of (epi)Sturmian sequences and distribution modulo 1
Authors/Creators: J-P. Allouche (Author/Creator)
A. Glen (Author/Creator)
Publication Details: L’Enseignement Mathématique, Vol.56, pp.365-401
Publisher: The International Commission on Mathematical Instruction
Identifiers: 991005544595207891
Murdoch Affiliation: Murdoch University
Language: English
Resource Type: Journal article
Publisher URL: http://www.unige.ch/math/EnsMath/

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