School of Mathematical and Statistical Sciences Faculty Publications and Presentations
Document Type
Article
Publication Date
3-2022
Abstract
Two Delone sets are bounded distance equivalent to each other if there is a bijection between them such that the distance of corresponding points is uniformly bounded. Bounded distance equivalence is an equivalence relation. We show that the hull of a repetitive Delone set with finite local complexity has either one equivalence class or uncountably many.
Recommended Citation
Frettlöh, D., Garber, A., & Sadun, L. (2022). Number of bounded distance equivalence classes in hulls of repetitive Delone sets. Discrete & Continuous Dynamical Systems, 42(3), 1403. https://doi.org/10.3934/dcds.2021157
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Publication Title
Discrete & Continuous Dynamical Systems
DOI
10.3934/dcds.2021157
