The multifractal spectrum of statistically self-similar measures
type: Item
instance of: scholarly article
title: The multifractal spectrum of statistically self-similar measures
zbMATH Open document ID: 0805.60034
DOI: 10.1007/BF02213576
published in: Journal of Theoretical Probability
publication date: 1994-10-17T00:00:00Z
review text: The author defines the concepts of a statistically self-similar measure on a random subset \(F\) of \(R^ n\), and of multifractal components of \(F\). It is proved that with probability one there is a multifractal decomposition analogous to that in the deterministic self-similar case. In a note added in proof, the author points out that, in the book ``Random geometrically graph directed self-similar multifractals'' (1994; Zbl 0801.28002)], \textit{L. Olsen} extends the results obtained in the present paper and addresses many aspects of the problems discussed in very full detail.
reviewed by: Marius Iosifescu
Mathematics Subject Classification ID: 60G18
zbMATH DE Number: 637656
zbMATH Keywords: statistically self-similar measure
zbMATH Keywords: multifractal components
zbMATH Keywords: multifractal decomposition
author: Kenneth J. Falconer
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 637656