A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf
.
On Sturmian substitutions closed under derivation
[article]
2019
arXiv
pre-print
Occurrences of a factor w in an infinite uniformly recurrent sequence u can be encoded by an infinite sequence over a finite alphabet. This sequence is usually denoted d_ u(w) and called the derived sequence to w in u. If w is a prefix of a fixed point u of a primitive substitution φ, then by Durand's result from 1998, the derived sequence d_ u(w) is fixed by a primitive substitution ψ as well. For a non-prefix factor w, the derived sequence d_ u(w) is fixed by a substitution only
arXiv:1908.11095v1
fatcat:hnhtzah6fnbvhoxl5gxfowjdr4