Multiscaling in stochastic fractals
Abstract
We introduce a simple kinetic model describing the formation of a stochastic Cantor set in arbitrary spatial dimension d. In one dimension, the model exhibits scaling asymptotic behavior. For d > 1, the volume distribution is characterized by a single scale t ^{ {1}/{2}}, while other geometric properties are characterized by an infinite number of different scales and thus exhibit multiscaling.
 Publication:

Physics Letters A
 Pub Date:
 December 1994
 DOI:
 10.1016/03759601(94)912203
 Bibcode:
 1994PhLA..196..168K