A Simple Condition for Bounded Displacement
Dynamical Systems
2016-07-12 v3
Abstract
We study separated nets that correspond to substitution tilings of the Euclidean space. We give a simple condition, in terms of the eigenvalues and eigenspaces of the substitution matrix, to know whether the separated net is a bounded displacement of the integer lattice or not.
Cite
@article{arxiv.1111.1690,
title = {A Simple Condition for Bounded Displacement},
author = {Yaar Solomon},
journal= {arXiv preprint arXiv:1111.1690},
year = {2016}
}