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On The Lq dimensions of measures on Heuter-Lalley type self-affine sets
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dc.contributor.author | Fraser, Jonathan M. | |
dc.contributor.author | Kempton, Tom | |
dc.date.accessioned | 2017-01-24T13:30:22Z | |
dc.date.available | 2017-01-24T13:30:22Z | |
dc.date.issued | 2018-01 | |
dc.identifier | 248996269 | |
dc.identifier | 5dc2b111-da06-4350-b4b6-42bb75539082 | |
dc.identifier | 85034217860 | |
dc.identifier | 000415212000015 | |
dc.identifier.citation | Fraser , 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/13672 | en |
dc.identifier.issn | 0002-9939 | |
dc.identifier.other | ORCID: /0000-0002-8066-9120/work/58285481 | |
dc.identifier.uri | https://hdl.handle.net/10023/10165 | |
dc.description | The 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.abstract | We 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.format.extent | 303145 | |
dc.language.iso | eng | |
dc.relation.ispartof | Proceedings of the American Mathematical Society | en |
dc.subject | Self-affine set | en |
dc.subject | Self-affine measure | en |
dc.subject | Käenmäki measure | en |
dc.subject | Lq-dimensions | en |
dc.subject | Affinity dimension | en |
dc.subject | Potential theoretic method | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | QA | en |
dc.title | On The Lq dimensions of measures on Heuter-Lalley type self-affine sets | en |
dc.type | Journal article | en |
dc.contributor.sponsor | The Leverhulme Trust | en |
dc.contributor.sponsor | EPSRC | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.identifier.doi | https://doi.org/10.1090/proc/13672 | |
dc.description.status | Peer reviewed | en |
dc.identifier.grantnumber | RF-2016-500 | en |
dc.identifier.grantnumber | EP/K029061/1 | en |
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