Statistics of patterns in typical cut and project sets
Dynamical Systems
2017-02-15 v1 Number Theory
Abstract
In this article pattern statistics of typical cubical cut and project sets are studied. We give estimates for the rate of convergence of appearances of patches to their asymptotic frequencies. We also give bounds for repetitivity and repulsivity functions. The proofs use ideas and tools developed in discrepancy theory.
Cite
@article{arxiv.1702.04041,
title = {Statistics of patterns in typical cut and project sets},
author = {Alan Haynes and Antoine Julien and Henna Koivusalo and James Walton},
journal= {arXiv preprint arXiv:1702.04041},
year = {2017}
}
Comments
27 pages