Aging Induced Multifractality

We show that the dynamic approach to L\'{e}vy statistics is characterized by aging and multifractality, induced by an ultra-slow transition to anomalous scaling. We argue that these aspects make it a protoptype of complex systems.

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Hauptverfasser: Allegrini, P, Bellazzini, J, Bramanti, G, Ignaccolo, M, Grigolini, P, Yang, J
Format: Artikel
Sprache:eng
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Zusammenfassung:We show that the dynamic approach to L\'{e}vy statistics is characterized by aging and multifractality, induced by an ultra-slow transition to anomalous scaling. We argue that these aspects make it a protoptype of complex systems.
DOI:10.48550/arxiv.cond-mat/0111517