Extremal properties of (epi)Sturmian sequences and distribution modulo
Jean-Paul Allouche
Université Pierre et Marie Curie, Paris, FranceAmy 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