V-Variable Fractals: Fractals with Partial Self Similarity

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dc.creatorBarnsley, Michael
dc.creatorHutchinson, John E.
dc.creatorStenflo, Örjan
dc.date2008-02-01
dc.date.accessioned2026-07-07T09:18:13Z
dc.date.available2026-07-07T09:18:13Z
dc.descriptionWe establish properties of a new type of fractal which has partial self similarity at all scales. For any collection of iterated functions systems with an associated probability distribution and any positive integer V there is a corresponding class of V-variable fractal sets or measures. These V-variable fractals can be obtained from the points on the attractor of a single deterministic iterated function system. Existence, uniqueness and approximation results are established under average contractive assumptions. We also obtain extensions of some basic results concerning iterated function systems.
dc.description33 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0802.0064
dc.identifierhttp://arxiv.org/abs/0802.0064
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153944
dc.subjectDynamical Systems
dc.subjectProbability
dc.subject28A80; 37H99; 60G57; 60J05
dc.titleV-Variable Fractals: Fractals with Partial Self Similarity
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