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Article: Spatial Statistics of Apollonian Gaskets

TitleSpatial Statistics of Apollonian Gaskets
Authors
Chen, WeiruJiao, MoKessler, CalvinMalik, AmitaZhang, Xin
Keywordsspatial statistics
pair correlation
Apollonian gaskets
Issue Date2019
Citation
Experimental Mathematics, 2019, v. 28, n. 3, p. 263-270 How to Cite?
DOI: http://dx.doi.org/10.1080/10586458.2017.1385037
Abstract© 2017, © 2017 Taylor & Francis Group, LLC. Apollonian gaskets are formed by repeatedly filling the interstices between four mutually tangent circles with further tangent circles. We experimentally study the nearest neighbor spacing, pair correlation, and electrostatic energy of centers of circles from Apollonian gaskets. Even though the centers of these circles are not uniformly distributed in any “ambient” space, after proper normalization, all these statistics seem to exhibit certain interesting limiting behaviors.
Persistent Identifierhttp://hdl.handle.net/10722/277678
ISSN
1058-6458
2023 Impact Factor: 0.7
2023 SCImago Journal Rankings: 0.425
ISI Accession Number ID
WOS:000477728400002

 

DC FieldValueLanguage
dc.contributor.authorChen, Weiru-
dc.contributor.authorJiao, Mo-
dc.contributor.authorKessler, Calvin-
dc.contributor.authorMalik, Amita-
dc.contributor.authorZhang, Xin-
dc.date.accessioned2019-09-27T08:29:40Z-
dc.date.available2019-09-27T08:29:40Z-
dc.date.issued2019-
dc.identifier.citationExperimental Mathematics, 2019, v. 28, n. 3, p. 263-270-
dc.identifier.issn1058-6458-
dc.identifier.urihttp://hdl.handle.net/10722/277678-
dc.description.abstract© 2017, © 2017 Taylor & Francis Group, LLC. Apollonian gaskets are formed by repeatedly filling the interstices between four mutually tangent circles with further tangent circles. We experimentally study the nearest neighbor spacing, pair correlation, and electrostatic energy of centers of circles from Apollonian gaskets. Even though the centers of these circles are not uniformly distributed in any “ambient” space, after proper normalization, all these statistics seem to exhibit certain interesting limiting behaviors.-
dc.languageeng-
dc.relation.ispartofExperimental Mathematics-
dc.subjectspatial statistics-
dc.subjectpair correlation-
dc.subjectApollonian gaskets-
dc.titleSpatial Statistics of Apollonian Gaskets-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1080/10586458.2017.1385037-
dc.identifier.scopuseid_2-s2.0-85035791463-
dc.identifier.hkuros317211-
dc.identifier.hkuros317206-
dc.identifier.volume28-
dc.identifier.issue3-
dc.identifier.spage263-
dc.identifier.epage270-
dc.identifier.eissn1944-950X-
dc.identifier.isiWOS:000477728400002-
dc.identifier.issnl1058-6458-

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