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- Publisher Website: 10.1080/10586458.2017.1385037
- Scopus: eid_2-s2.0-85035791463
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Article: Spatial Statistics of Apollonian Gaskets
Title | Spatial Statistics of Apollonian Gaskets |
---|---|
Authors | |
Keywords | spatial statistics pair correlation Apollonian gaskets |
Issue Date | 2019 |
Citation | Experimental Mathematics, 2019, v. 28, n. 3, p. 263-270 How to Cite? |
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 Identifier | http://hdl.handle.net/10722/277678 |
ISSN | 2023 Impact Factor: 0.7 2023 SCImago Journal Rankings: 0.425 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Chen, Weiru | - |
dc.contributor.author | Jiao, Mo | - |
dc.contributor.author | Kessler, Calvin | - |
dc.contributor.author | Malik, Amita | - |
dc.contributor.author | Zhang, Xin | - |
dc.date.accessioned | 2019-09-27T08:29:40Z | - |
dc.date.available | 2019-09-27T08:29:40Z | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | Experimental Mathematics, 2019, v. 28, n. 3, p. 263-270 | - |
dc.identifier.issn | 1058-6458 | - |
dc.identifier.uri | http://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.language | eng | - |
dc.relation.ispartof | Experimental Mathematics | - |
dc.subject | spatial statistics | - |
dc.subject | pair correlation | - |
dc.subject | Apollonian gaskets | - |
dc.title | Spatial Statistics of Apollonian Gaskets | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1080/10586458.2017.1385037 | - |
dc.identifier.scopus | eid_2-s2.0-85035791463 | - |
dc.identifier.hkuros | 317211 | - |
dc.identifier.hkuros | 317206 | - |
dc.identifier.volume | 28 | - |
dc.identifier.issue | 3 | - |
dc.identifier.spage | 263 | - |
dc.identifier.epage | 270 | - |
dc.identifier.eissn | 1944-950X | - |
dc.identifier.isi | WOS:000477728400002 | - |
dc.identifier.issnl | 1058-6458 | - |