On substitution automorphisms with pure singular spectrum
Dynamical Systems
2024-01-09 v2
Abstract
A sufficient condition for a substitution automorphism to have pure singular spectrum is given in terms of the top Lyapunov exponent of the associated spectral cocycle. As a corollary, singularity of the spectrum is established for an infinite family of self-similar interval exchange transformations.
Cite
@article{arxiv.2003.11287,
title = {On substitution automorphisms with pure singular spectrum},
author = {Alexander I. Bufetov and Boris Solomyak},
journal= {arXiv preprint arXiv:2003.11287},
year = {2024}
}
Comments
Revision after the referee report; to appear in Mathematische Zeitschrift