Some generalization of self-similarity
P.O. Box 39953, Ramat-Aviv 61398, Tel-Aviv, Israel
Accepted: 10 August 1997
It is shown that stretched exponential form of probability density of the random fractal systems is a consequence of generalized (on fractal random series) central-limit theorem. It is also shown that the stretched exponential form of probability density could lead to a generalized self-similarity in the random fractal systems. Good agreement with numerical simulations and experiments of different authors for turbulent, diffusive and growth processes is established.
PACS: 05.40.+j – Fluctuation phenomena, random processes, and Brownian motion
© EDP Sciences, 1997