Dynamics in multiplicative processes

Haim Weissman, Shlomo Havlin

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


We study the dynamics on fractals generated by multiplicative processes. The fractal's elements are the transition rates {wi} in one-dimensional systems. We find a general relation for dynamics dw=1-τ(1), where dw is the exponent characterizing the mean-square displacement, & and τ(q) characterize the scaling of the qth moment of the fractal elements with its size. We show that criticality in dw occurs only when f(α) spectra are discrete.

Original languageEnglish
Pages (from-to)5994-5996
Number of pages3
JournalPhysical Review B
Issue number10
StatePublished - 1988


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