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Article: On the Local–Global Conjecture for Combinatorial Period Lengths of Closed Billiards on the Regular Pentagon

TitleOn the Local–Global Conjecture for Combinatorial Period Lengths of Closed Billiards on the Regular Pentagon
Authors
Kontorovich, AlexZhang, Xin
Issue Date1-Aug-2025
PublisherOxford University Press
Citation
International Mathematics Research Notices, 2025, v. 2025, n. 15 How to Cite?
DOI: http://dx.doi.org/10.1093/imrn/rnaf227
Abstract

We study the set of combinatorial lengths of asymmetric periodic trajectories on the regular pentagon, proving a density-one version of a conjecture of Davis–Lelièvre. 


Persistent Identifierhttp://hdl.handle.net/10722/358768
ISSN
1073-7928
2023 Impact Factor: 0.9
2023 SCImago Journal Rankings: 1.337

 

DC FieldValueLanguage
dc.contributor.authorKontorovich, Alex-
dc.contributor.authorZhang, Xin-
dc.date.accessioned2025-08-13T07:47:54Z-
dc.date.available2025-08-13T07:47:54Z-
dc.date.issued2025-08-01-
dc.identifier.citationInternational Mathematics Research Notices, 2025, v. 2025, n. 15-
dc.identifier.issn1073-7928-
dc.identifier.urihttp://hdl.handle.net/10722/358768-
dc.description.abstract<p>We study the set of combinatorial lengths of asymmetric periodic trajectories on the regular pentagon, proving a density-one version of a conjecture of Davis–Lelièvre. <br></p>-
dc.languageeng-
dc.publisherOxford University Press-
dc.relation.ispartofInternational Mathematics Research Notices-
dc.titleOn the Local–Global Conjecture for Combinatorial Period Lengths of Closed Billiards on the Regular Pentagon -
dc.typeArticle-
dc.identifier.doi10.1093/imrn/rnaf227-
dc.identifier.scopuseid_2-s2.0-105011874996-
dc.identifier.volume2025-
dc.identifier.issue15-
dc.identifier.eissn1687-0247-
dc.identifier.issnl1073-7928-

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