Multifractal features of random walks on random fractals

Armin Bunde, Shlomo Havlin, H. Eduardo Roman

Research output: Contribution to journalArticlepeer-review

77 Scopus citations


We find that the fluctuations of the probability density P(r,t) of random walks on random fractals, for fixed distance r and time t, have a broad logarithmic distribution. The average moments Pq scale is a multifractal way, PqP(q), where (q)q, <1. The exponent characterizes the structural disorder in the fractal. In chemical l space, the distribution of P(l,t) is narrow and PqPq.

Original languageEnglish
Pages (from-to)6274-6277
Number of pages4
JournalPhysical Review A
Issue number10
StatePublished - 1990
Externally publishedYes


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