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Transience and multifractal analysis

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dc.contributor.authorIommi, Godofredo
dc.contributor.authorJordan, Thomas
dc.contributor.authorTodd, Michael John
dc.date.accessioned2017-01-12T00:31:52Z
dc.date.available2017-01-12T00:31:52Z
dc.date.issued2017-03
dc.identifier.citationIommi , G , Jordan , T & Todd , M J 2017 , ' Transience and multifractal analysis ' , Annales de l'Institut Henri Poincare (C) Non Linear Analysis , vol. 34 , no. 2 , pp. 407-421 . https://doi.org/10.1016/j.anihpc.2015.12.007en
dc.identifier.issn0294-1449
dc.identifier.otherPURE: 52377288
dc.identifier.otherPURE UUID: 6eb45f59-25b4-4014-b7b7-60c7df35251f
dc.identifier.otherScopus: 85006584932
dc.identifier.otherORCID: /0000-0002-0042-0713/work/54181501
dc.identifier.otherWOS: 000395848500006
dc.identifier.urihttps://hdl.handle.net/10023/10086
dc.descriptionG.I. was partially supported by the Center of Dynamical Systems and Related Fields código ACT1103 and by Proyecto Fondecyt 1150058. T.J. wishes to thank Proyecto Mecesup-0711 for funding his visit to PUC-Chile. M.T. is grateful for the support of Proyecto Fondecyt 1110040 for funding his visit to PUC-Chile and for partial support from NSF grant DMS 1109587.en
dc.description.abstractWe study dimension theory for dissipative dynamical systems, proving a conditional variational principle for the quotients of Birkhoff averages restricted to the recurrent part of the system. On the other hand, we show that when the whole system is considered (and not just its recurrent part) the conditional variational principle does not necessarily hold. Moreover, we exhibit an example of a topologically transitive map having discontinuous Lyapunov spectrum. The mechanism producing all these pathological features on the multifractal spectra is transience, that is, the non-recurrent part of the dynamics.
dc.language.isoeng
dc.relation.ispartofAnnales de l'Institut Henri Poincare (C) Non Linear Analysisen
dc.rights© 2016, Publisher / the Author(s). This work is 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 www.sciencedirect.com / https://dx.doi.org/10.1016/j.anihpc.2015.12.007en
dc.subjectMultifractal analysisen
dc.subjectErgodic theoryen
dc.subjectLyapunov exponentsen
dc.subjectQA Mathematicsen
dc.subjectT-NDASen
dc.subject.lccQAen
dc.titleTransience and multifractal analysisen
dc.typeJournal articleen
dc.description.versionPostprinten
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.identifier.doihttps://doi.org/10.1016/j.anihpc.2015.12.007
dc.description.statusPeer revieweden
dc.date.embargoedUntil2017-01-11


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