2003/08/14 by Dong Pyo Chi, Chi, Dong Pyo, DoYong Kwon +1
Mathematics · #11J91 #37B10 #68R15 #Combinatorics (math.CO) #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT) #math.CO #math.DS #math.NT #msc:11J91 #msc:37B10 #msc:68R15
paper · pdf · doi:10.48550/arxiv.math/0308140
21 pages, Latex
arxiv created 2003/08/14 · arxiv updated 2009/12/01
Consider the minimal β-shift containing the shift space generated by given Sturmian word. In this paper we characterize such β and investigate its combinatorial, dynamical and topological properties and prove that such β are transcendental numbers.