Article View: sci.fractals
Article #98random processes with nonunique fractal dimension
From: Owen Ernest Kelly
Date: Mon, 05 Oct 1992 16:25
Date: Mon, 05 Oct 1992 16:25
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1230 bytes
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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Path: arc1-ca.pugleaf.net!sparky!uunet!ogicse!news.u.washington.edu!uw-beaver!rice!riemann.rice.edu!oekelly 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 Article-I.D.: rice.Bvnpn5.DLJ Sender: news@rice.edu (News) Organization: Rice University Lines: 19