Extremal properties of (epi)Sturmian sequences and distribution modulo 1
Number Theory
2011-02-01 v1 Combinatorics
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.
Keywords
Cite
@article{arxiv.0907.2430,
title = {Extremal properties of (epi)Sturmian sequences and distribution modulo 1},
author = {Jean-Paul Allouche and Amy Glen},
journal= {arXiv preprint arXiv:0907.2430},
year = {2011}
}