Number of bounded distance equivalence classes in hulls of repetitive Delone sets
Frettlöh D, Garber A, Sadun L (2021)
Discrete and Continuous Dynamical Systems.
Zeitschriftenaufsatz
| E-Veröff. vor dem Druck | Englisch
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Autor*in
Frettlöh, DirkUniBi;
Garber, AlexeyUniBi;
Sadun, Lorenzo
Einrichtung
Abstract / Bemerkung
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.
Stichworte
Delone set;
finite local complexity;
topological hull;
bounded distance;
equivalence;
aperiodic order;
aperiodic tilings
Erscheinungsjahr
2021
Zeitschriftentitel
Discrete and Continuous Dynamical Systems
ISSN
1078-0947
eISSN
1553-5231
Page URI
https://pub.uni-bielefeld.de/record/2959758
Zitieren
Frettlöh D, Garber A, Sadun L. Number of bounded distance equivalence classes in hulls of repetitive Delone sets. Discrete and Continuous Dynamical Systems. 2021.
Frettlöh, D., Garber, A., & Sadun, L. (2021). Number of bounded distance equivalence classes in hulls of repetitive Delone sets. Discrete and Continuous Dynamical Systems. https://doi.org/10.3934/dcds.2021157
Frettlöh, Dirk, Garber, Alexey, and Sadun, Lorenzo. 2021. “Number of bounded distance equivalence classes in hulls of repetitive Delone sets”. Discrete and Continuous Dynamical Systems.
Frettlöh, D., Garber, A., and Sadun, L. (2021). Number of bounded distance equivalence classes in hulls of repetitive Delone sets. Discrete and Continuous Dynamical Systems.
Frettlöh, D., Garber, A., & Sadun, L., 2021. Number of bounded distance equivalence classes in hulls of repetitive Delone sets. Discrete and Continuous Dynamical Systems.
D. Frettlöh, A. Garber, and L. Sadun, “Number of bounded distance equivalence classes in hulls of repetitive Delone sets”, Discrete and Continuous Dynamical Systems, 2021.
Frettlöh, D., Garber, A., Sadun, L.: Number of bounded distance equivalence classes in hulls of repetitive Delone sets. Discrete and Continuous Dynamical Systems. (2021).
Frettlöh, Dirk, Garber, Alexey, and Sadun, Lorenzo. “Number of bounded distance equivalence classes in hulls of repetitive Delone sets”. Discrete and Continuous Dynamical Systems (2021).
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