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Fractal geometry of Bedford-McMullen carpets

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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.identifier277520305
dc.identifier539378bb-a4e3-4e7d-895a-3fbbb6aeb251
dc.identifier85116876040
dc.identifier000718285200017
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.otherRIS: urn:1185166943118FBC955CB4CA9F63600F
dc.identifier.otherRIS: 10.1007/978-3-030-74863-0_15
dc.identifier.otherORCID: /0000-0002-8066-9120/work/106838100
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.format.extent3258807
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofThermodynamic Formalismen
dc.relation.ispartofseriesLecture Notes in Mathematicsen
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.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


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