A spectral cocycle for substitution systems and translation flows
Dynamical Systems
2020-08-26 v4
Abstract
For substitution systems and translation flows, a new cocycle, which we call {\em spectral cocycle}, is introduced, whose Lyapunov exponents govern the local dimension of the spectral measure for higher-level cylindrical functions. The construction relies on the symbolic representation of translation flows and the formalism of matrix Riesz products.
Keywords
Cite
@article{arxiv.1802.04783,
title = {A spectral cocycle for substitution systems and translation flows},
author = {Alexander I. Bufetov and Boris Solomyak},
journal= {arXiv preprint arXiv:1802.04783},
year = {2020}
}
Comments
Corrected a few typos. To appear in Journal d'Analyse Mathematique