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Lq-spectra of measures on planar non-conformal attractors

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dc.contributor.authorFalconer, Kenneth John
dc.contributor.authorFraser, Jonathan
dc.contributor.authorLee, Lawrence David
dc.date.accessioned2020-11-11T17:30:22Z
dc.date.available2020-11-11T17:30:22Z
dc.date.issued2021-11
dc.identifier.citationFalconer , K J , Fraser , J & Lee , L D 2021 , ' L q -spectra of measures on planar non-conformal attractors ' , Ergodic Theory and Dynamical Systems , vol. 41 , no. 11 , pp. 3288-3306 . https://doi.org/10.1017/etds.2020.106en
dc.identifier.issn0143-3857
dc.identifier.otherPURE: 268058629
dc.identifier.otherPURE UUID: 677a998d-34af-4e20-8d11-e04b84377932
dc.identifier.otherORCID: /0000-0001-8823-0406/work/83481411
dc.identifier.otherORCID: /0000-0002-8066-9120/work/83481813
dc.identifier.otherScopus: 85094956585
dc.identifier.otherWOS: 000721238000007
dc.identifier.urihttp://hdl.handle.net/10023/20954
dc.descriptionFunding: KJF and JMF were supported by an EPSRC Standard Grant (EP/R015104/1). JMF was also supported by a Leverhulme Trust Research Project Grant (RPG-2019-034). LDL was supported by an EPSRC Doctoral Training Grant.en
dc.description.abstractWe study the Lq-spectrum of measures in the plane generated by certain nonlinear maps. In particular we consider attractors of iterated function systems consisting of maps whose components are C1+α and for which the Jacobian is a lower triangular matrix at every point subject to a natural domination condition on the entries. We calculate the Lq-spectrum of Bernoulli measures supported on such sets by using an appropriately defined analogue of the singular value function and an appropriate pressure function.
dc.format.extent19
dc.language.isoeng
dc.relation.ispartofErgodic Theory and Dynamical Systemsen
dc.rightsCopyright © The Author(s), 2020. Published by Cambridge University Press. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1017/etds.2020.106.en
dc.subjectLq-spectrumen
dc.subjectGeneralised q-dimensionsen
dc.subjectNon-conformal attractoren
dc.subjectModified singular value functionen
dc.subjectSelf-affine measureen
dc.subjectQA Mathematicsen
dc.subjectT-NDASen
dc.subject.lccQAen
dc.titleLq-spectra of measures on planar non-conformal attractorsen
dc.typeJournal articleen
dc.contributor.sponsorEPSRCen
dc.contributor.sponsorThe Leverhulme Trusten
dc.description.versionPreprinten
dc.description.versionPostprinten
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.identifier.doihttps://doi.org/10.1017/etds.2020.106
dc.description.statusPeer revieweden
dc.date.embargoedUntil2021-04-26
dc.identifier.urlhttps://arxiv.org/pdf/2005.09361.pdfen
dc.identifier.urlhttps://www.doi.org/10.1017/etds.2020.106en
dc.identifier.grantnumberEP/R015104/1en
dc.identifier.grantnumberRPG-2019-034en


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