Diffusion on self-similar structures is reviewed within a unified theoretical framework. Much attention is devoted to the asymptotic form of the probability density of random walks on fractals, for which analytical solutions are discussed. New predictions for the structure of percolation clusters at criticality are presented.
Roman, H. (1997). Diffusion on self-similar structures. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 5(3), 379-393 [10.1142/S0218348X97000358].
Diffusion on self-similar structures
Roman H. E.
1997
Abstract
Diffusion on self-similar structures is reviewed within a unified theoretical framework. Much attention is devoted to the asymptotic form of the probability density of random walks on fractals, for which analytical solutions are discussed. New predictions for the structure of percolation clusters at criticality are presented.
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