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Attractors of directed graph IFSs that are not standard IFS attractors and their Hausdorff measure
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dc.contributor.author | Boore, Graeme | |
dc.contributor.author | Falconer, Kenneth John | |
dc.date.accessioned | 2012-11-06T14:31:01Z | |
dc.date.available | 2012-11-06T14:31:01Z | |
dc.date.issued | 2013 | |
dc.identifier | 12209594 | |
dc.identifier | 333aef7d-bf33-4580-8d7f-ae9a9592802b | |
dc.identifier | 84873551920 | |
dc.identifier.citation | Boore , G & Falconer , K J 2013 , ' Attractors of directed graph IFSs that are not standard IFS attractors and their Hausdorff measure ' , Mathematical Proceedings of the Cambridge Philosophical Society , vol. 154 , no. 02 , pp. 325-349 . https://doi.org/10.1017/S0305004112000576 | en |
dc.identifier.issn | 0305-0041 | |
dc.identifier.other | ORCID: /0000-0001-8823-0406/work/58055243 | |
dc.identifier.uri | https://hdl.handle.net/10023/3237 | |
dc.description | "GCB was supported by an EPSRC Doctoral Training Grant whilst undertaking this work" | en |
dc.description.abstract | For directed graph iterated function systems (IFSs) defined on R, we prove that a class of 2-vertex directed graph IFSs have attractors that cannot be the attractors of standard (1-vertex directed graph) IFSs, with or without separation conditions. We also calculate their exact Hausdorff measure. Thus we are able to identify a new class of attractors for which the exact Hausdorff measure is known. | |
dc.format.extent | 24 | |
dc.format.extent | 399896 | |
dc.language.iso | eng | |
dc.relation.ispartof | Mathematical Proceedings of the Cambridge Philosophical Society | en |
dc.subject | QA Mathematics | en |
dc.subject.lcc | QA | en |
dc.title | Attractors of directed graph IFSs that are not standard IFS attractors and their Hausdorff measure | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.identifier.doi | 10.1017/S0305004112000576 | |
dc.description.status | Peer reviewed | en |
dc.identifier.url | http://journals.cambridge.org/abstract_S0305004112000576 | en |
dc.identifier.url | http://arxiv.org/pdf/1108.2418.pdf | en |
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