Sudden onset of log-periodicity and superdiffusion in non-Markovian random walks with amnestically induced persistence: exact results

DOI10.1140/EPJB/E2009-00361-6zbMath1188.82023OpenAlexW2031501316MaRDI QIDQ977744

J. C. Cressoni, G. M. Viswanathan, A. S. Ferreira, M. L. Felisberto, F. S. Passos, M. A. A. Da Silva

Publication date: 23 June 2010

Published in: The European Physical Journal B. Condensed Matter and Complex Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1140/epjb/e2009-00361-6

Mathematics Subject Classification ID

Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Fokker-Planck equations (35Q84)

Related Items (2)

Transient superdiffusion in random walks with a \(q\)-exponentially decaying memory profile ⋮ Superdiffusion driven by exponentially decaying memory

Cites Work

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• Multifractal detrended fluctuation analysis of nonstationary time series
• Lévy flights and related topics in physics. Proceedings of the international workshop, held at Nice, France, 27-30 June, 1994
• Emergence of Scaling in Random Networks
• Amnestically Induced Persistence in Random Walks
• Random walks with self-similar clusters
• Introduction to Econophysics
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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