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Intermediate dimensions - a survey

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dc.contributor.authorFalconer, Kenneth John
dc.contributor.editorPollicott, Mark
dc.contributor.editorVaienti, Sandro
dc.date.accessioned2022-04-21T23:43:38Z
dc.date.available2022-04-21T23:43:38Z
dc.date.issued2021
dc.identifier272737105
dc.identifier21e4904d-fa9a-41d9-9f88-2dd13ff99a7e
dc.identifier85116936879
dc.identifier000718285200016
dc.identifier.citationFalconer , K J 2021 , Intermediate dimensions - a survey . in M Pollicott & S Vaienti (eds) , Thermodynamic Formalism : CIRM Jean-Morley Chair, Fall 2019 . Lecture Notes in Mathematics , vol. 2290 , Springer , Cham , pp. 469-493 . https://doi.org/10.1007/978-3-030-74863-0_14en
dc.identifier.isbn9783030748623
dc.identifier.isbn9783030748630
dc.identifier.issn0075-8434
dc.identifier.otherORCID: /0000-0001-8823-0406/work/101958380
dc.identifier.urihttps://hdl.handle.net/10023/25229
dc.descriptionFunding: The work was supported in part by an EPSRC Standard Grant EP/R015104/1.en
dc.description.abstractThis article surveys the θ-intermediate dimensions that were introduced recently which provide a parameterised continuum of dimensions that run from Hausdorff dimension when θ=0 to box-counting dimensions when θ=1. We bring together diverse properties of intermediate dimensions which we illustrate by examples.
dc.format.extent20
dc.format.extent595008
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofThermodynamic Formalismen
dc.relation.ispartofseriesLecture Notes in Mathematicsen
dc.subjectHausdorff dimensionen
dc.subjectBox-counting dimensionen
dc.subjectIntermediate dimensionsen
dc.subjectQA Mathematicsen
dc.subjectT-NDASen
dc.subject.lccQAen
dc.titleIntermediate dimensions - a surveyen
dc.typeConference itemen
dc.contributor.sponsorEPSRCen
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.identifier.doihttps://doi.org/10.1007/978-3-030-74863-0_14
dc.date.embargoedUntil2022-04-22
dc.identifier.urlhttps://arxiv.org/abs/2011.04363en
dc.identifier.grantnumberEP/R015104/1en


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