Random fractals and Probability metrics
Hutchinson, John; Ruschendorf, Ludger
Description
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]
Collections | ANU Research Publications |
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Date published: | 2000 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/90146 |
Source: | Advances in Applied Probability |
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