Beyond substitutive dynamical systems: S-adic expansions
Dynamical Systems
2017-07-19 v2 Combinatorics
Abstract
An S-adic expansion of an infinite word is a way of writing it as the limit of an infinite product of substitutions (i.e., morphisms of a free monoid). Such a description is related to continued fraction expansions of numbers and vectors. A fundamental example of this relation is between Sturmian sequences and regular continued fractions. We study S-adic words from different perspectives, namely word combinatorics, ergodic theory, and Diophantine approximation, by stressing the parallel with continued fraction expansions.
Cite
@article{arxiv.1309.3960,
title = {Beyond substitutive dynamical systems: S-adic expansions},
author = {Valérie Berthé and Vincent Delecroix},
journal= {arXiv preprint arXiv:1309.3960},
year = {2017}
}
Comments
30 pages