Lévy diffusion as an effect of sporadic randomness.
The Lévy diffusion processes are a form of non-ordinary statistical mechanics resting, however, on the conventional Markov property. As a consequence of this, their dynamic derivation is possible provided that (i) a source of randomness is present in the corresponding microscopic dynamics and (ii) the consequent process of memory erasure is properly taken into account by the theoretical treatment.
Bologna
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Center for Nonlinear Science, University of North Texas, P.O. Box 5368, Denton, Texas 76203, USA.
Grigolini
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Riccardi
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