Show simple item record

Files in this item

Thumbnail
Name:
BMsurvey.pdf
Size:
3.107Mb
Format:
PDF
View/Open

Fractal geometry of Bedford-McMullen carpets

Item metadata

dc.contributor.authorFraser, Jonathan M.
dc.contributor.editorPollicott, Mark
dc.contributor.editorVaienti, Sandro
dc.date.accessioned2022-04-21T23:43:43Z
dc.date.available2022-04-21T23:43:43Z
dc.date.issued2021
dc.identifier.citationFraser , J M 2021 , Fractal geometry of Bedford-McMullen carpets . in M Pollicott & S Vaienti (eds) , Thermodynamic Formalism : CIRM Jean-Morlet Chair, Fall 2019 . Lecture Notes in Mathematics , vol. 2290 , Springer , pp. 495-516 , Thermodynamic Formalism , Marseille Luminy , France , 9/12/19 . https://doi.org/10.1007/978-3-030-74863-0_15en
dc.identifier.citationconferenceen
dc.identifier.isbn9783030748623
dc.identifier.isbn9783030748630
dc.identifier.issn0075-8434
dc.identifier.otherPURE: 277520305
dc.identifier.otherPURE UUID: 539378bb-a4e3-4e7d-895a-3fbbb6aeb251
dc.identifier.otherRIS: urn:1185166943118FBC955CB4CA9F63600F
dc.identifier.otherRIS: 10.1007/978-3-030-74863-0_15
dc.identifier.otherScopus: 85116876040
dc.identifier.otherORCID: /0000-0002-8066-9120/work/106838100
dc.identifier.otherWOS: 000718285200017
dc.identifier.urihttps://hdl.handle.net/10023/25230
dc.descriptionThe author was supported by an EPSRC Standard Grant (EP/R015104/1) and a Leverhulme Trust Research Project Grant (RPG-2019-034).en
dc.description.abstractIn 1984 Bedford and McMullen independently introduced a family of self-affine sets now known as Bedford-McMullen carpets. Their work stimulated a lot of research in the areas of fractal geometry and non-conformal dynamics. In this survey article we discuss some aspects of Bedford-McMullen carpets, focusing mostly on dimension theory.
dc.format.extent22
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofThermodynamic Formalismen
dc.relation.ispartofseriesLecture Notes in Mathematicsen
dc.rightsCopyright © 2021 the Author(s), under exclusive license to Springer Nature Switzerland AG. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1007/978-3-030-74863-0_15en
dc.subjectBedford-McMullen carpeten
dc.subjectSelf-affine carpeten
dc.subjectSelf-affine seten
dc.subjectSelf-affine measureen
dc.subjectHausdorff dimensionen
dc.subjectBox dimensionen
dc.subjectAssouad dimensionen
dc.subjectQA Mathematicsen
dc.subjectNSen
dc.subjectACen
dc.subject.lccQAen
dc.titleFractal geometry of Bedford-McMullen carpetsen
dc.typeConference itemen
dc.contributor.sponsorEPSRCen
dc.contributor.sponsorThe Leverhulme Trusten
dc.description.versionPostprinten
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.contributor.institutionUniversity of St Andrews. Centre for Interdisciplinary Research in Computational Algebraen
dc.identifier.doihttps://doi.org/10.1007/978-3-030-74863-0_15
dc.date.embargoedUntil2022-04-22
dc.identifier.urlhttps://arxiv.org/abs/2008.10555en
dc.identifier.grantnumberEP/R015104/1en
dc.identifier.grantnumberRPG-2019-034en


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.