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Article #98

random processes with nonunique fractal dimension

#98
From: Owen Ernest Kelly
Date: Mon, 05 Oct 1992 16:25
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There has been some work [Schertzer & Lovejoy, 1988] on characterizing 
multifractal SETS by a method which is more general than assigning a single real
number called the "fractal dimension" to the set.  In their work a set may have
several scaling exponents or even a continuum of them (with an associated density).

Unfortunately, I am not working with SETS.  I am working with 
RANDOM PROCESSES, in particular DOUBLY STOCHASTIC POINT PROCESSES.

I am familiar with the so called SELF SIMILAR random processes and 
I am looking for references in which the idea of NON-UNIQUE SCALING EXPONENT
has been extended to random processes. References to algorithms for estimating the 
spectrum of fractal exponents would be greatly appreciated.

Please e-mail me directly.
Thank you.

Owen Kelly
ECE Dept.
Rice University
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From: oekelly@riemann.rice.edu (Owen Ernest Kelly)
Newsgroups: sci.fractals
Subject: random processes with nonunique fractal dimension
Message-ID: <Bvnpn5.DLJ@rice.edu>
Date: 5 Oct 92 16:25:52 GMT
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