JournalslemVol. 56, No. 3/4pp. 365–401

Extremal properties of (epi)Sturmian sequences and distribution modulo 11

  • Jean-Paul Allouche

    Université Pierre et Marie Curie, Paris, France
  • Amy Glen

    Murdoch University, Perth, Australia
Extremal properties of (epi)Sturmian sequences and distribution modulo $1$ cover
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Abstract

Starting from a study of Y. Bugeaud and A. Dubickas (2005) on a question about the distribution of real numbers modulo 11 {\em via\,} combinatorics on words, we survey some combinatorial properties of (epi)Sturmian sequences and distribution modulo 11 in connection to their work. In particular we focus on extremal properties of (epi)Sturmian sequences, some of which have been rediscovered several times.

Cite this article

Jean-Paul Allouche, Amy Glen, Extremal properties of (epi)Sturmian sequences and distribution modulo 11. Enseign. Math. 56 (2010), no. 3, pp. 365–401

DOI 10.4171/LEM/56-3-5