Division Point Measures from Primitive Substitutions
Dynamical Systems
2013-11-18 v3 Probability
Abstract
In this note we extend results of Olli concerning limits of point measures arising from substitutions. We consider a general primitive substitution on a finite polygon set in and show that limits of certain atomic measures each converge to Lebesgue measure.
Keywords
Cite
@article{arxiv.1304.6435,
title = {Division Point Measures from Primitive Substitutions},
author = {Daniel Gonçalves and Charles Starling},
journal= {arXiv preprint arXiv:1304.6435},
year = {2013}
}
Comments
13 Pages, 4 Figures. Third version adds references and fixes typos and other minor errors. To appear in Expositiones Mathematicae