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V-variable fractals: dimension results
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
2012 (English)In: Forum mathematicum, ISSN 0933-7741, E-ISSN 1435-5337, Vol. 24, no 3, 445-470 p.Article in journal (Refereed) Published
Abstract [en]

The families of V-variable fractals for V = 1, 2, ... , together with their natural probability distributions, interpolate between the corresponding families of random homogeneous fractals and of random recursive fractals. We investigate certain random V x V matrices associated with these fractals and use them to compute the almost sure Hausdorff dimension of V-variable fractals satisfying the uniform open set condition.

Place, publisher, year, edition, pages
2012. Vol. 24, no 3, 445-470 p.
Keyword [en]
V-variable fractals, Hausdorff dimension
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-175625DOI: 10.1515/FORM.2011.075ISI: 000304047000001OAI: oai:DiVA.org:uu-175625DiVA: diva2:532737
Available from: 2012-06-12 Created: 2012-06-11 Last updated: 2017-12-07Bibliographically approved

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Stenflo, Örjan

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