Multiscaling in Stochastic Fractals
P. L. Krapivsky and E. Ben-Naim
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 such as the length are characterized by an
infinite number of length scales and thus exhibit multiscaling.
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