Sturmian words, $\beta$-shifts, and transcendence
Combinatorics
2007-05-23 v1 Dynamical Systems
Number Theory
Abstract
Consider the minimal -shift containing the shift space generated by given Sturmian word. In this paper we characterize such and investigate its combinatorial, dynamical and topological properties and prove that such are transcendental numbers.
Keywords
Cite
@article{arxiv.math/0308140,
title = {Sturmian words, $\beta$-shifts, and transcendence},
author = {Dong Pyo Chi and DoYong Kwon},
journal= {arXiv preprint arXiv:math/0308140},
year = {2007}
}
Comments
21 pages, Latex