Multi-scaling properties of truncated Levy flights

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dc.creatorNakao, Hiroya
dc.date2000-02-02
dc.date.accessioned2026-07-07T08:01:53Z
dc.date.available2026-07-07T08:01:53Z
dc.descriptionMulti-scaling properties of one-dimensional truncated Levy flights are studied. Due to the broken self-similarity of the distribution of jumps, they are expected to possess multi-scaling properties in contrast to the ordinary Levy flights. We argue this fact based on a smoothly truncated Levy distribution, and derive the functional form of the scaling exponents. Specifically, they exhibit bi-fractal behavior, which is the simplest case of multi-scaling.
dc.description9 pages, 6 figures, accepted for publication in Phys. Lett. A
dc.identifierhttps://arxiv.org/abs/cond-mat/0002027
dc.identifierhttp://arxiv.org/abs/cond-mat/0002027
dc.identifierPhys. Lett. A 266 (2000) 282
dc.identifierdoi:10.1016/S0375-9601(00)00059-1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129058
dc.subjectStatistical Mechanics
dc.subjectChaotic Dynamics
dc.titleMulti-scaling properties of truncated Levy flights
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