Dimensions of random affine code tree fractals

We calculate the almost sure Hausdorff dimension for a general class of random affine planar code tree fractals. The set of probability measures describing the randomness includes natural measures in random \(V\)-variable and homogeneous Markov constructions.

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Bibliographic Details
Published in:arXiv.org 2012-02
Main Authors: Järvenpää, Esa, Järvenpää, Maarit, Käenmäki, Antti, Koivusalo, Henna, Stenflo, Örjan, Suomala, Ville
Format: Article
Language:English
Subjects:
Fractals
Online Access:Get full text
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Description
Summary:We calculate the almost sure Hausdorff dimension for a general class of random affine planar code tree fractals. The set of probability measures describing the randomness includes natural measures in random \(V\)-variable and homogeneous Markov constructions.
ISSN:2331-8422
DOI:10.48550/arxiv.1202.0140