Extremal properties of (epi)Sturmian sequences and distribution modulo

  • Jean-Paul Allouche

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

    Murdoch University, Perth, Australia

Abstract

Starting from a study of Y. Bugeaud and A. Dubickas (2005) on a question about the distribution of real numbers modulo via combinatorics on words, we survey some combinatorial properties of (epi)Sturmian sequences and distribution modulo 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 . Enseign. Math. 56 (2010), no. 3/4, pp. 365–401

DOI 10.4171/LEM/56-3-5