Publications in Scientific Journals:
J. Deshouillers, M. Drmota, C. Müllner:
"Automatic sequences generated by synchronizing automata fulfill the Sarnak conjecture";
Studia Mathematica,
231
(2015),
1;
83
- 95.
English abstract:
We prove that automatic sequences generated by synchronizing automata satisfy the full Sarnak conjecture. This is of particular interest, since Berlinkov proved recently that almost all automata are synchronizing.
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.4064/sm8479-2-2016