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Multiscaling and random cascades

Published online by Cambridge University Press:  01 July 2016

Edward C. Waymire
Edward C. Waymire*
Affiliation:
Oregon State University
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Extract

The study of spatial distributions which arise from independent multiplicative cascades can be traced back at least to the efforts by the Russian school led by Andrei N. Kolmogorov on the statistical theory of turbulence. However, largely owing to the intriguing statistical/geometric scaling properties so heavily emphasized by Benoit Mandelbrot, and to the rich mathematical foundations begun by Jean-Pierre Kahane and Jacques Peyriere in the middle 1970's and continuing to the present, there has been a growing interest in random cascades both in the physical sciences and in mathematics. Our objective is to review some of the principal aspects of the theory and applications of independent cascades as well as some recent extensions.

Type
Stochastic Geometry and Statistical Applications
Information
Advances in Applied Probability , Volume 28 , Issue 2 , June 1996 , pp. 343 - 344
Copyright
Copyright © Applied Probability Trust 1996 

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References

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