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Fractal geometry of Bedford-McMullen carpets
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dc.contributor.author | Fraser, Jonathan M. | |
dc.contributor.editor | Pollicott, Mark | |
dc.contributor.editor | Vaienti, Sandro | |
dc.date.accessioned | 2022-04-21T23:43:43Z | |
dc.date.available | 2022-04-21T23:43:43Z | |
dc.date.issued | 2021 | |
dc.identifier | 277520305 | |
dc.identifier | 539378bb-a4e3-4e7d-895a-3fbbb6aeb251 | |
dc.identifier | 85116876040 | |
dc.identifier | 000718285200017 | |
dc.identifier.citation | Fraser , 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_15 | en |
dc.identifier.citation | conference | en |
dc.identifier.isbn | 9783030748623 | |
dc.identifier.isbn | 9783030748630 | |
dc.identifier.issn | 0075-8434 | |
dc.identifier.other | RIS: urn:1185166943118FBC955CB4CA9F63600F | |
dc.identifier.other | RIS: 10.1007/978-3-030-74863-0_15 | |
dc.identifier.other | ORCID: /0000-0002-8066-9120/work/106838100 | |
dc.identifier.uri | https://hdl.handle.net/10023/25230 | |
dc.description | The author was supported by an EPSRC Standard Grant (EP/R015104/1) and a Leverhulme Trust Research Project Grant (RPG-2019-034). | en |
dc.description.abstract | In 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.extent | 22 | |
dc.format.extent | 3258807 | |
dc.language.iso | eng | |
dc.publisher | Springer | |
dc.relation.ispartof | Thermodynamic Formalism | en |
dc.relation.ispartofseries | Lecture Notes in Mathematics | en |
dc.subject | Bedford-McMullen carpet | en |
dc.subject | Self-affine carpet | en |
dc.subject | Self-affine set | en |
dc.subject | Self-affine measure | en |
dc.subject | Hausdorff dimension | en |
dc.subject | Box dimension | en |
dc.subject | Assouad dimension | en |
dc.subject | QA Mathematics | en |
dc.subject | NS | en |
dc.subject | AC | en |
dc.subject.lcc | QA | en |
dc.title | Fractal geometry of Bedford-McMullen carpets | en |
dc.type | Conference item | en |
dc.contributor.sponsor | EPSRC | en |
dc.contributor.sponsor | The Leverhulme Trust | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.contributor.institution | University of St Andrews. Centre for Interdisciplinary Research in Computational Algebra | en |
dc.identifier.doi | 10.1007/978-3-030-74863-0_15 | |
dc.date.embargoedUntil | 2022-04-22 | |
dc.identifier.url | https://arxiv.org/abs/2008.10555 | en |
dc.identifier.grantnumber | EP/R015104/1 | en |
dc.identifier.grantnumber | RPG-2019-034 | en |
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