1999/07/29 by Mauro Bologna, Paolo Grigolini, Juri Riccardi · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Computer science #Diffusion #Diffusion and Search Dynamics #Diffusion process #Epistemology #Erasure #Innovation diffusion #Markov chain #Markov model #Markov process #Markov property #Mathematics #Philosophy #Physics #Property (philosophy) #Quantum mechanics #Randomness #Statistical physics #Statistics #Theoretical and Computational Physics #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreve.60.6435
8 pages
arxiv created 1999/07/29 · openalex publication_date 1999/12/01 · arxiv updated 2016/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.