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Ledrappier–Young formulae for a family of nonlinear attractors

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dc.contributor.authorLee, Lawrence David
dc.contributor.authorJurga, Natalia Anna
dc.date.accessioned2021-10-05T10:30:03Z
dc.date.available2021-10-05T10:30:03Z
dc.date.issued2021-10-04
dc.identifier.citationLee , L D & Jurga , N A 2021 , ' Ledrappier–Young formulae for a family of nonlinear attractors ' , Mathematische Zeitschrift , vol. First Online . https://doi.org/10.1007/s00209-021-02876-7en
dc.identifier.issn0025-5874
dc.identifier.otherPURE: 276009986
dc.identifier.otherPURE UUID: f36b960e-d6f8-499a-87cc-743245e307ac
dc.identifier.otherScopus: 85116225005
dc.identifier.otherWOS: 000703367500002
dc.identifier.urihttps://hdl.handle.net/10023/24089
dc.descriptionLDL was supported by an EPSRC Doctoral Training Grant (EP/N509759/1). NJ was supported by an EPSRC Standard Grant (EP/R015104/1).en
dc.description.abstractWe study a natural class of invariant measures supported on the attractors of a family of nonlinear, non-conformal iterated function systems introduced by Falconer, Fraser and Lee. These are pushforward quasi-Bernoulli measures, a class which includes the well-known class of Gibbs measures for Hölder continuous potentials. We show that these measures are exact dimensional and that their exact dimensions satisfy a Ledrappier–Young formula.
dc.format.extent15
dc.language.isoeng
dc.relation.ispartofMathematische Zeitschriften
dc.rightsCopyright © The Author(s) 2021. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.en
dc.subjectLedrappier–Young formulaen
dc.subjectQuasi-Bernoulli measureen
dc.subjectExact dimensionalen
dc.subjectNon-conformal attractoren
dc.subjectQA Mathematicsen
dc.subjectT-NDASen
dc.subject.lccQAen
dc.titleLedrappier–Young formulae for a family of nonlinear attractorsen
dc.typeJournal articleen
dc.contributor.sponsorEPSRCen
dc.description.versionPublisher PDFen
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.identifier.doihttps://doi.org/10.1007/s00209-021-02876-7
dc.description.statusPeer revieweden
dc.identifier.grantnumberEP/R015104/1en


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