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Self-similar sets: projections, sections and percolation

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dc.contributor.authorFalconer, Kenneth John
dc.contributor.authorJin, Xiong
dc.contributor.editorBarral, Julien
dc.contributor.editorSeuret, Stéphane
dc.date.accessioned2017-09-08T11:30:07Z
dc.date.available2017-09-08T11:30:07Z
dc.date.issued2017
dc.identifier.citationFalconer , K J & Jin , X 2017 , Self-similar sets: projections, sections and percolation . in J Barral & S Seuret (eds) , Recent Developments in Fractals and Related Fields. FARF3 2015 . Trends in Mathematics , Birkhäuser , Cham , pp. 113-127 , Fractals and Related Fields III , île de Porquerolles , France , 19/09/15 . https://doi.org/10.1007/978-3-319-57805-7_6en
dc.identifier.citationconferenceen
dc.identifier.isbn9783319578033
dc.identifier.isbn9783319578057
dc.identifier.issn2297-0215
dc.identifier.otherPURE: 247704094
dc.identifier.otherPURE UUID: c61eaf7e-bab4-4db5-8a29-c8b260452a03
dc.identifier.otherScopus: 85028752497
dc.identifier.otherORCID: /0000-0001-8823-0406/work/58055252
dc.identifier.otherWOS: 000451501100006
dc.identifier.urihttps://hdl.handle.net/10023/11629
dc.description.abstractWe survey some recent results on the dimension of orthogonal projections of self-similar sets and of random subsets obtained by percolation on self-similar sets. In particular we highlight conditions when the dimension of the projections takes the generic value for all, or very nearly all, projections. We then describe a method for deriving dimensional properties of sections of deterministic self-similar sets by utilising projection properties of random percolation subsets.
dc.format.extent15
dc.language.isoeng
dc.publisherBirkhäuser
dc.relation.ispartofRecent Developments in Fractals and Related Fields. FARF3 2015en
dc.relation.ispartofseriesTrends in Mathematicsen
dc.rights© 2017, Springer International Publishing AG. This work has been 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 link.springer.com / https://doi.org/10.1007/978-3-319-57805-7_6en
dc.subjectQA Mathematicsen
dc.subjectT-NDASen
dc.subject.lccQAen
dc.titleSelf-similar sets: projections, sections and percolationen
dc.typeConference itemen
dc.description.versionPostprinten
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.identifier.doihttps://doi.org/10.1007/978-3-319-57805-7_6
dc.date.embargoedUntil2017-08-25


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