A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
On substitution invariant Sturmian words: an application of Rauzy fractals

2007
*
RAIRO - Theoretical Informatics and Applications
*

Sturmian words are infinite words that have exactly n + 1 factors of length n for every positive integer n. A Sturmian word s α,ρ is also defined as a coding over a two-letter alphabet of the orbit of point ρ under the action of the irrational rotation R α : x → x + α (mod 1). A substitution fixes a Sturmian word if and only if it is invertible. The main object of the present paper is to investigate Rauzy fractals associated with two-letter invertible substitutions. As an application, we give

doi:10.1051/ita:2007026
fatcat:f2rawrbp5va7pbjb4b7pixbnya