Characterizations of model sets by dynamical systems
动力系统
2019-07-17 v2 度量几何
摘要
It is shown how regular model sets can be characterized in terms of regularity properties of their associated dynamical systems. The proof proceeds in two steps. First, we characterize regular model sets in terms of a certain map and then relate the properties of to ones of the underlying dynamical system. As a by-product, we can show that regular model sets are, in a suitable sense, as close to periodic sets as possible among repetitive aperiodic sets.
引用
@article{arxiv.math/0511648,
title = {Characterizations of model sets by dynamical systems},
author = {Michael Baake and Daniel Lenz and Robert V. Moody},
journal= {arXiv preprint arXiv:math/0511648},
year = {2019}
}
备注
41 pages, revised version