Self-Similar Measures for Quasicrystals
Metric Geometry
2019-07-17 v1 Mathematical Physics
math.MP
Abstract
We study self-similar measures of Hutchinson type, defined by compact families of contractions, both in a single and multi-component setting. The results are applied in the context of general model sets to infer, via a generalized version of Weyl's Theorem on uniform distribution, the existence of invariant measures for families of self-similarities of regular model sets.
Cite
@article{arxiv.math/0008063,
title = {Self-Similar Measures for Quasicrystals},
author = {Michael Baake and Robert V. Moody},
journal= {arXiv preprint arXiv:math/0008063},
year = {2019}
}
Comments
42 pages, several figures