Please use this identifier to cite or link to this item: https://physrep.ff.bg.ac.rs/handle/123456789/963
Title: Statistics of equally weighted random paths on a class of self-similar structures
Authors: Knežević, Milan 
Knežević, Dragica
Spasojević, Đorđe 
Issue Date: 9-Jan-2004
Journal: Journal of Physics A: Mathematical and General
Abstract: 
We study the statistics of equally weighted random walk paths on a family of Sierpinski gasket lattices whose members are labelled by an integer b (2 ≤ b < ∞). The obtained exact results on the first eight members of this family reveal that, for every b > 2, mean path end-to-end distance grows more slowly than any power of its length N. We provide arguments for the emergence of usual power law critical behaviour in the limit b → ∞ when fractal lattices become almost compact.
URI: https://physrep.ff.bg.ac.rs/handle/123456789/963
ISSN: 0305-4470
DOI: 10.1088/0305-4470/37/1/001
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