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Diophantine approximation in metric space

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dc.contributor.authorFraser, Jonathan
dc.contributor.authorKoivusalo, Henna
dc.contributor.authorRamirez, Felipe
dc.date.accessioned2022-12-02T12:30:11Z
dc.date.available2022-12-02T12:30:11Z
dc.date.issued2023-04-01
dc.identifier281677629
dc.identifier5a9ccbaf-0d1a-435c-963a-4745bc69433f
dc.identifier85143383320
dc.identifier.citationFraser , J , Koivusalo , H & Ramirez , F 2023 , ' Diophantine approximation in metric space ' , Bulletin of the London Mathematical Society , vol. 55 , no. 2 , pp. 756-776 . https://doi.org/10.14760/OWP-2021-07 , https://doi.org/10.1112/blms.12755en
dc.identifier.issn0024-6093
dc.identifier.otherORCID: /0000-0002-8066-9120/work/124079009
dc.identifier.urihttps://hdl.handle.net/10023/26529
dc.descriptionFunding: The authors were supported by a Mathematisches Forschungsinstitut Oberwolfach - Research in Pairs Grant. JMF was financially supported by an EPSRC Standard Grant (EP/R015104/1) and a Leverhulme Trust Research Project Grant (RPG-2019-034).en
dc.description.abstractDiophantine approximation is traditionally the study of how well real numbers are approximated by rationals. We propose a model for studying Diophantine approximation in an arbitrary totally bounded metric space where the rationals are replaced with a countable hierarchy of “well-spread” points, which we refer to as abstract rationals. We prove various Jarník–Besicovitch type dimension bounds and investigate their sharpness.
dc.format.extent21
dc.format.extent186385
dc.language.isoeng
dc.relation.ispartofBulletin of the London Mathematical Societyen
dc.subjectQA Mathematicsen
dc.subjectT-NDASen
dc.subjectMCCen
dc.subject.lccQAen
dc.titleDiophantine approximation in metric spaceen
dc.typeJournal articleen
dc.contributor.sponsorEPSRCen
dc.contributor.sponsorThe Leverhulme Trusten
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.contributor.institutionUniversity of St Andrews. Centre for Interdisciplinary Research in Computational Algebraen
dc.identifier.doihttps://doi.org/10.14760/OWP-2021-07
dc.description.statusPeer revieweden
dc.identifier.grantnumberEP/R015104/1en
dc.identifier.grantnumberRPG-2019-034en


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