Statistics of equally weighted random paths on a class of self-similar structures
Milan Kne evi, Dragica Kne evi, Djordje Spasojevi · Journal of Physics A Mathematical and General · 2003
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 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.