Show simple item record

Files in this item

Thumbnail
Name:
FARF3_FalconerJin.pdf
Size:
968.5Kb
Format:
PDF
View/Open

Self-similar sets: projections, sections and percolation

Item metadata

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.identifier247704094
dc.identifierc61eaf7e-bab4-4db5-8a29-c8b260452a03
dc.identifier85028752497
dc.identifier000451501100006
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.otherORCID: /0000-0001-8823-0406/work/58055252
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.format.extent991833
dc.language.isoeng
dc.publisherBirkhäuser
dc.relation.ispartofRecent Developments in Fractals and Related Fields. FARF3 2015en
dc.relation.ispartofseriesTrends in Mathematicsen
dc.subjectQA Mathematicsen
dc.subjectT-NDASen
dc.subject.lccQAen
dc.titleSelf-similar sets: projections, sections and percolationen
dc.typeConference itemen
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.identifier.doi10.1007/978-3-319-57805-7_6
dc.date.embargoedUntil2017-08-25


This item appears in the following Collection(s)

Show simple item record

Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.