A note on entropy of Delone sets
Abstract: In this note we present that the patch counting entropy can be obtained as a limit and investigate which sequences of compact sets are suitable to define this quantity. We furthermore present a geometric definition of patch counting entropy for Delone sets of infinite local complexity and that the patch counting entropy of a Delone set equals the topological entropy of the corresponding Delone dynamical system. We present our results in the context of (non‐compact) locally compact abelian groups that contain Meyer sets.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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A note on entropy of Delone sets ; day:10 ; month:07 ; year:2022 ; extent:20
Mathematische Nachrichten ; (10.07.2022) (gesamt 20)
- Creator
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Hauser, Till
- DOI
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10.1002/mana.202000063
- URN
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urn:nbn:de:101:1-2022071115055254437428
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:20 AM CEST
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Associated
- Hauser, Till
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