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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.identifier276009986
dc.identifierf36b960e-d6f8-499a-87cc-743245e307ac
dc.identifier85116225005
dc.identifier000703367500002
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.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.format.extent352393
dc.language.isoeng
dc.relation.ispartofMathematische Zeitschriften
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.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.identifier.doi10.1007/s00209-021-02876-7
dc.description.statusPeer revieweden
dc.identifier.grantnumberEP/R015104/1en


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