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arXiv · 0907.2430

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

Jean-Paul Allouche·Amy Glen
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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.

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Jean-Paul Allouche, Amy Glen. 2009-07-14. Extremal properties of (epi)Sturmian sequences and distribution modulo 1. https://arxiv.org/abs/0907.2430

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