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Discrete & Computational Geometry, 2024, Pages 1–17
DOI: https://doi.org/10.1007/s00454-024-00666-6 (Mi dcg8) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Bounds for the regularity radius of Delone sets

Nikolay Dolbilina, Alexey Garberb, Egon Schultec, Marjorie Senechald

a Steklov Mathematical Institute, 8 Gubkina Str., Moscow, Russia, 119991
b School of Mathematical & Statistical Sciences, The University of Texas Rio Grande Valley, 1 West University Blvd, Brownsville, TX, 78520, USA
c Department of Mathematics, Northeastern University, Boston, MA, 02115, USA
d Department of Mathematics and Statistics, Smith College, Northampton, MA, 01063, USA
Citations (1)
DOI: https://doi.org/10.1007/s00454-024-00666-6
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2022-265
Alexander von Humboldt-Stiftung
Simons Foundation 420718
We would like to thank the American Institute of Mathematics (AIM) for hosting our SQuaRe research project on “Delaunay Sets: Local Rules in Crystalline Structures”, as well as the 2016 AIM workshop on “Soft Packings, Nested Clusters, and Condensed Matter”. The present paper resulted from discussions initiated at the second SQuaRe meeting in 2019. We greatly appreciated the opportunity to meet at AIMandare grateful to AIM for the hospitality. The work of N. D. was performed at the Steklov International Mathematical Center and supported by the Ministry of Science and Higher Education of the Russian Federation (agreement no. 075-15-2022-265). The work of A. G. was partially supported by the Alexander von Humboldt Foundation. The work of E. S. was supported by Simons Foundation award no. 420718. We would also like to thank Michael Baake for comments and suggestions that helped us to improve the presentation. Finally, we are grateful to an anonymous referee for a very thoughtful review with valuable suggestions for improvement of the paper.
Received: 19.06.2023
Revised: 26.05.2024
Accepted: 28.05.2024
Bibliographic databases:
Document Type: Article
Language: English
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