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Lq-spectra of measures on planar non-conformal attractors
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dc.contributor.author | Falconer, Kenneth John | |
dc.contributor.author | Fraser, Jonathan | |
dc.contributor.author | Lee, Lawrence David | |
dc.date.accessioned | 2020-11-11T17:30:22Z | |
dc.date.available | 2020-11-11T17:30:22Z | |
dc.date.issued | 2021-11 | |
dc.identifier | 268058629 | |
dc.identifier | 677a998d-34af-4e20-8d11-e04b84377932 | |
dc.identifier | 85094956585 | |
dc.identifier | 000721238000007 | |
dc.identifier.citation | Falconer , 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.2020.106 | en |
dc.identifier.issn | 0143-3857 | |
dc.identifier.other | ORCID: /0000-0001-8823-0406/work/83481411 | |
dc.identifier.other | ORCID: /0000-0002-8066-9120/work/83481813 | |
dc.identifier.uri | https://hdl.handle.net/10023/20954 | |
dc.description | Funding: 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.abstract | We 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.extent | 19 | |
dc.format.extent | 627951 | |
dc.format.extent | 581229 | |
dc.language.iso | eng | |
dc.relation.ispartof | Ergodic Theory and Dynamical Systems | en |
dc.subject | Lq-spectrum | en |
dc.subject | Generalised q-dimensions | en |
dc.subject | Non-conformal attractor | en |
dc.subject | Modified singular value function | en |
dc.subject | Self-affine measure | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | QA | en |
dc.title | Lq-spectra of measures on planar non-conformal attractors | en |
dc.type | Journal article | en |
dc.contributor.sponsor | EPSRC | en |
dc.contributor.sponsor | The Leverhulme Trust | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.identifier.doi | 10.1017/etds.2020.106 | |
dc.description.status | Peer reviewed | en |
dc.date.embargoedUntil | 2021-04-26 | |
dc.identifier.url | https://arxiv.org/pdf/2005.09361.pdf | en |
dc.identifier.url | https://www.doi.org/10.1017/etds.2020.106 | en |
dc.identifier.grantnumber | EP/R015104/1 | en |
dc.identifier.grantnumber | RPG-2019-034 | en |
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