The multifractal spectrum of statistically self-similar measures |
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| Authors: | K. J. Falconer |
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| Affiliation: | (1) School of Mathematics, University Walk, BS8 1TW Bristol, UK;(2) Mathematical Institute, University of St Andrews, North Haugh, KY16 9SS St Andrews, Fife, UK |
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| Abstract: | We calculate the multifractal spectrum of a random measure constructed using a statistically self-similar process. We show that with probability one there is a multifractal decomposition analogous to that in the deterministic self-similar case, with the exponents given by the solution of an expectation equation. |
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| Keywords: | Self-similar process fractals random measure |
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