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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 |
Appears in Collections: | Journal Article |
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