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

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

2009-07-14

arxiv.org/abs/0907.2430v1

L'Enseignement Math\'ematique, 56 (2010) 365-401

Mathematics

Number Theory

Scientific paper

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.

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