Construction of random fractal measures by branching processes

1 July 1992

journal article
research article
Published by Taylor & Francis in Stochastics and Stochastic Reports

Vol. 39 (4) , 195-212
https://doi.org/10.1080/17442509208833775

Abstract

Fractals are often defined in a constructive way. In this paper a new possibility for the construction of random measures concentrated on fractals is presented. The fractal measures are generated by time discrete branching processes. It will be shown that a large class of self-similar fractals fit in the framework of this model. For some examples the carrying dimension is determined

Keywords

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