Left-sided multifractality in a binary random multiplicative cascade - art. no. 011109

Authors
Hanan, WG Gough, J Heffernan, DM
Citation
Wg. Hanan et al., Left-sided multifractality in a binary random multiplicative cascade - art. no. 011109, PHYS REV E, 6301(1), 2001, pp. 1109-NIL_84
Citations number
16
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
6301
Issue
1
Year of publication
2001
Part
1
Pages
1109 - NIL_84
Database
ISI
SICI code
1063-651X(200101)6301:1<1109:LMIABR>2.0.ZU;2-J
Abstract
In this paper we study a binary random multiplicative cascade. Specifically , the cascade is used to produce and study left-sided multifractal random m easures. Extensive numerical simulations of the random cascade process were undertaken and f(alpha) spectra obtained and compared with the analytical results. We believe that this model and approach can serve as a simple and fundamental tool in the analysis and understanding of physical systems poss essing an underlying multiplicative structure.