Structure of clusters generated by random walks

S. Havlin, G. H. Weiss, D. Ben-Avraham, D. Movshovitz

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


The authors study the cluster structure resulting from a nearest-neighbour random walk embedded in a d-dimensional space. Each bond visited by the random walks is regarded as belonging to the cluster. The diffusion exponent and the fracton dimensional of the fractal cluster in d=3 is found to be d w=3.5+or-0.1 and d=0.57+or-0.02, using a method of exact enumeration of random walks on these fractals.

Original languageEnglish
Article number006
Pages (from-to)L849-L853
JournalJournal of Physics A: General Physics
Issue number15
StatePublished - 1984
Externally publishedYes


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