Substitutions and M\"obius disjointness
Dynamical Systems
2015-07-15 v1 Number Theory
Abstract
We show that Sarnak's conjecture on M\"obius disjointness holds for all subshifts given by bijective substitutions and some other similar dynamical systems, e.g.\ those generated by Rudin-Shapiro type sequences.
Cite
@article{arxiv.1507.01123,
title = {Substitutions and M\"obius disjointness},
author = {S. Ferenczi and J. Kułaga-Przymus and M. Lemańczyk and C. Mauduit},
journal= {arXiv preprint arXiv:1507.01123},
year = {2015}
}
Comments
26 pages