Purity results for some arithmetically defined measures
Dynamical Systems
2022-05-16 v3 Number Theory
Abstract
We study measures that are obtained as push-forwards of measures of maximal entropy on sofic shifts under digital maps , where is a Pisot number. We characterise the continuity of such measures in terms of the underlying automaton and show a purity result.
Keywords
Cite
@article{arxiv.1908.09023,
title = {Purity results for some arithmetically defined measures},
author = {Peter J. Grabner},
journal= {arXiv preprint arXiv:1908.09023},
year = {2022}
}