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Random fractals and Probability metrics

Hutchinson, John; Ruschendorf, Ludger


New metrics are introduced in the space of random measures and are applied, with various modifications of the contraction method, to prove existence and uniqueness results for self-similar random fractal measures. We obtain exponential convergence, both in distribution and almost surely, of an iterative sequence of random measures (defined by means of the scaling operator) to a unique self-similar random measure. The assumptions are quite weak, and correspond to similar conditions in the...[Show more]

CollectionsANU Research Publications
Date published: 2000
Type: Journal article
Source: Advances in Applied Probability


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