Chaotic Delone sets
Dynamical Systems
2020-12-18 v3
Abstract
We present a definition of chaotic Delone set, and establish the genericity of chaos in the space of -Delone sets for . We also present a hyperbolic analogue of the cut-and-project method that naturally produces examples of chaotic Delone sets.
Cite
@article{arxiv.1912.05379,
title = {Chaotic Delone sets},
author = {Jesús Antonio Álvarez López and Ramón Barral Lijó and John Hunton and Hiraku Nozawa and John R. Parker},
journal= {arXiv preprint arXiv:1912.05379},
year = {2020}
}
Comments
16 pages, 6 figures. Corrections to previous version: miscellanous editorial changes, we have added section 5 where we explain how to obtain chaotic Delone sets on R^n by taking products. To appear on Discrete and Continuous Dynamical Systems A