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dc.contributor.authorFraser, Jonathan M.
dc.contributor.authorKempton, Tom
dc.date.accessioned2017-01-24T13:30:22Z
dc.date.available2017-01-24T13:30:22Z
dc.date.issued2018-01
dc.identifier.citationFraser , J M & Kempton , T 2018 , ' On The L q dimensions of measures on Heuter-Lalley type self-affine sets ' , Proceedings of the American Mathematical Society , vol. 146 , no. 1 , pp. 161-173 . https://doi.org/10.1090/proc/13672en
dc.identifier.issn0002-9939
dc.identifier.otherPURE: 248996269
dc.identifier.otherPURE UUID: 5dc2b111-da06-4350-b4b6-42bb75539082
dc.identifier.otherScopus: 85034217860
dc.identifier.otherORCID: /0000-0002-8066-9120/work/58285481
dc.identifier.otherWOS: 000415212000015
dc.identifier.urihttps://hdl.handle.net/10023/10165
dc.descriptionThe authors were financially supported by an LMS Scheme 4 Research in Pairs grant. The second author also acknowledges financial support from the EPSRC grant EP/K029061/1, and the first author acknowledges financial support from a Leverhulme Trust Research Fellowship (RF-2016-500).en
dc.description.abstractWe study the Lq-dimensions of self-affine measures and the Käenmäki measure on a class of self-affine sets similar to the class considered by Hueter and Lalley. We give simple, checkable conditions under which the Lq-dimensions are equal to the value predicted by Falconer for a range of q. As a corollary this gives a wider class of self-affine sets for which the Hausdorff dimension can be explicitly calculated. Our proof combines the potential theoretic approach developed by Hunt and Kaloshin with recent advances in the dynamics of self-affine sets.
dc.language.isoeng
dc.relation.ispartofProceedings of the American Mathematical Societyen
dc.rights© 2017, American Mathematical Society. This work has been made available online in accordance with the publisher’s policies. This is the author created, accepted version 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/10.1090/proc/13672en
dc.subjectSelf-affine seten
dc.subjectSelf-affine measureen
dc.subjectKäenmäki measureen
dc.subjectLq-dimensionsen
dc.subjectAffinity dimensionen
dc.subjectPotential theoretic methoden
dc.subjectQA Mathematicsen
dc.subjectT-NDASen
dc.subject.lccQAen
dc.titleOn The Lq dimensions of measures on Heuter-Lalley type self-affine setsen
dc.typeJournal articleen
dc.contributor.sponsorThe Leverhulme Trusten
dc.contributor.sponsorEPSRCen
dc.description.versionPostprinten
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.identifier.doihttps://doi.org/10.1090/proc/13672
dc.description.statusPeer revieweden
dc.identifier.grantnumberRF-2016-500en
dc.identifier.grantnumberEP/K029061/1en


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