SCALING BEHAVIOR OF FINITE BROWNIAN-MOTION - A MULTIFRACTAL APPROACH

Citation
Mal. Quintela et C. Tojo, SCALING BEHAVIOR OF FINITE BROWNIAN-MOTION - A MULTIFRACTAL APPROACH, Anales de quimica, 89(3), 1993, pp. 297-305
Citations number
30
Categorie Soggetti
Chemistry
Journal title
ISSN journal
11302283
Volume
89
Issue
3
Year of publication
1993
Pages
297 - 305
Database
ISI
SICI code
1130-2283(1993)89:3<297:SBOFB->2.0.ZU;2-Q
Abstract
Finite Brownian motion can be characterized as an effective multifract al since different spatial regions have different scaling properties. The multifractality is lost very slowly when the length of the traject ory increases, and finally the motion becomes monofractal when the num ber of steps length tends to infinity.