We study the range of multifractality for the probability density P(r,t) of random walks on linear random fractals, for a given distance r and time t. Analytical study of the moments Pq(r,t) shows that multifractality exists only when 1.
Eisenberg, E., Bunde, A., Havlin, S., Roman, H. (1993). Range of multifractality for random walks on random fractals. PHYSICAL REVIEW E, 47(4), 2333-2335 [10.1103/PhysRevE.47.2333].
Range of multifractality for random walks on random fractals
Roman H. E.
1993
Abstract
We study the range of multifractality for the probability density P(r,t) of random walks on linear random fractals, for a given distance r and time t. Analytical study of the moments Pq(r,t) shows that multifractality exists only when 1.
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