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Ledrappier–Young formulae for a family of nonlinear attractors
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dc.contributor.author | Lee, Lawrence David | |
dc.contributor.author | Jurga, Natalia Anna | |
dc.date.accessioned | 2021-10-05T10:30:03Z | |
dc.date.available | 2021-10-05T10:30:03Z | |
dc.date.issued | 2021-10-04 | |
dc.identifier | 276009986 | |
dc.identifier | f36b960e-d6f8-499a-87cc-743245e307ac | |
dc.identifier | 85116225005 | |
dc.identifier | 000703367500002 | |
dc.identifier.citation | Lee , 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/s00209-021-02876-7 | en |
dc.identifier.issn | 0025-5874 | |
dc.identifier.uri | https://hdl.handle.net/10023/24089 | |
dc.description | LDL 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.abstract | We 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.extent | 15 | |
dc.format.extent | 352393 | |
dc.language.iso | eng | |
dc.relation.ispartof | Mathematische Zeitschrift | en |
dc.subject | Ledrappier–Young formula | en |
dc.subject | Quasi-Bernoulli measure | en |
dc.subject | Exact dimensional | en |
dc.subject | Non-conformal attractor | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | QA | en |
dc.title | Ledrappier–Young formulae for a family of nonlinear attractors | en |
dc.type | Journal article | en |
dc.contributor.sponsor | EPSRC | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.identifier.doi | https://doi.org/10.1007/s00209-021-02876-7 | |
dc.description.status | Peer reviewed | en |
dc.identifier.grantnumber | EP/R015104/1 | en |
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