Chaotic Delone Sets

Alvarez Lopez, Jesus Antonio; Barral Lijo, Ramon; Hunton, John; Nozawa, Hiraku; Parker, John R

Abstract

We present a definition of chaotic Delone set and establish the genericity of chaos in the space of (ϵ,δ)-Delone sets for ϵ≥δ. We also present a hyperbolic analogue of the cut-and-project method that naturally produces examples of chaotic Delone sets.

Citation

Alvarez Lopez, J. A., Barral Lijo, R., Hunton, J., Nozawa, H., & Parker, J. R. (2021). Chaotic Delone Sets. Discrete and Continuous Dynamical Systems - Series A, 41(8), 3781-3796. https://doi.org/10.3934/dcds.2021016

• Journal Article Type: Article
• Acceptance Date: Dec 11, 2020
• Online Publication Date: Apr 14, 2021
• Publication Date: 2021-08
• Deposit Date: Jan 4, 2021
• Publicly Available Date: Apr 14, 2022
• Journal: Discrete and Continuous Dynamical Systems - Series A
• Print ISSN: 1078-0947
• Electronic ISSN: 1553-5231
• Publisher: American Institute of Mathematical Sciences (AIMS)
• Peer Reviewed: Peer Reviewed
• Volume: 41
• Issue: 8
• Pages: 3781-3796
• DOI: https://doi.org/10.3934/dcds.2021016
• Public URL: https://durham-repository.worktribe.com/output/1248328