Modeling of flows with the power-law spectral densities and power-law distributions of flow's intensities

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dc.creatorKaulakys, Bronislovas
dc.creatorAlaburda, Miglius
dc.creatorGontis, Vygintas
dc.creatorMeskauskas, Tadas
dc.creatorRuseckas, Julius
dc.date2005-12-08
dc.date.accessioned2026-07-07T08:21:35Z
dc.date.available2026-07-07T08:21:35Z
dc.descriptionWe present analytical and numerical results of modeling of flows represented as the correlated non-Poissonian point process and as the Poissonian sequence of pulses of the different size. Both models may generate signals with the power-law distributions of the intensity of the flow and the power-law spectral density. Furthermore, different distributions of the interevent time of the point process and different statistics of the size of pulses may result in $1/f^β$ noise (one-over-f noise, 1-f noise) with $0.5\lesssimβ\lesssim2$. Combination of the models is applied for modeling of the Internet traffic.
dc.description9 pages, 6 figures, Presented at Conference on Traffic and Granular Flow 2005, Berlin
dc.identifierhttps://arxiv.org/abs/physics/0512068
dc.identifierhttp://arxiv.org/abs/physics/0512068
dc.identifierTraffic and Granular Flow ' 05 : pp.603-611 (2007) Springer-Verlag, Berlin, Editors: A. Schadschneider, T. Poschel, R. Kuhne, M. Schreckenberg and D. E. Wolf
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135369
dc.subjectPhysics and Society
dc.subjectData Analysis, Statistics and Probability
dc.titleModeling of flows with the power-law spectral densities and power-law distributions of flow's intensities
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