PROBABILITY-DISTRIBUTION FOR A MULTIFRACTAL FIELD

Authors
DEUTSCH JM ZACHER RA
Citation
Jm. Deutsch et Ra. Zacher, PROBABILITY-DISTRIBUTION FOR A MULTIFRACTAL FIELD, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(1), 1994, pp. 180000008-180000010
Citations number
18
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
49
Issue
1
Year of publication
1994
Pages
180000008 - 180000010
Database
ISI
SICI code
1063-651X(1994)49:1<180000008:PFAMF>2.0.ZU;2-O
Abstract
The complete probability distribution function for a multifractal fiel d with quadratic f(alpha) is derived. We do this for a model which is obtained as the continuous limit of an infinite product of random func tions each one having log-normal statistics. The resulting probability distribution is also log normal but with long-range logarithmic corre lations. This can be written in a local n --> O form.