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arXiv:0907.2430 [math.NT]AbstractReferencesReviewsResources

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

Jean-Paul Allouche, Amy Glen

Published 2009-07-14Version 1

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.

Journal: L'Enseignement Math\'ematique, 56 (2010) 365-401
Categories: math.NT, math.CO
Subjects: 11J71, 68R15, 11B85, 37B10
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