Q1. What are the contributions in "Fractional ĺevy motion and its application to network traffic modeling" ?
The authors introduce a general non-Gaussian, self-similar, stochastic process called the fractional L ́ evy motion ( fLm ).
Fractional Lévy motion and its applocation to network traffic modeling
TLDR
The main findings are the probability density function of thefLm process, several scaling results related to a single-server infinite buffer queue fed by fLm traffic, and an asymptotic lower bound for the probability of overflow.About:
This article is published in Computer Networks.The article was published on 2002-10-22 and is currently open access. It has received 72 citations till now. The article focuses on the topics: Stochastic process & Probability density function.read more
Citations
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Journal ArticleDOI
Stable non-Gaussian random processes , by G. Samorodnitsky and M. S. Taqqu. Pp. 632. £49.50. 1994. ISBN 0-412-05171-0 (Chapman and Hall).
Journal ArticleDOI
Maximizing information exchange between complex networks
TL;DR: How certain complexity barriers have been surmounted using newly applied theoretical concepts such as aging, renewal, non-ergodic statistics and the fractional calculus is reviewed.
Proceedings ArticleDOI
Analysis on generalized stochastically bounded bursty traffic for communication networks
TL;DR: The concept of generalized stochastically bounded burstiness (gSBB) for Internet traffic is introduced, the tail distribution of whose burstiness can be bounded by a decreasing function in a function class with few restrictions.
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Fundamental calculus on generalized stochastically bounded bursty traffic for communication networks
TL;DR: This work presents another stochastic model, generalized Stochastically Bounded Burstiness (gSBB), which is based on the virtual backlog property of the input process, and introduces a stochastically ordering monotonicity property of gSBB.
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Self-organized criticality and the dynamics of near-marginal turbulent transport in magnetically confined fusion plasmas
Raul Sanchez,David E. Newman +1 more
TL;DR: Self-organized criticality (SOC) was suggested in the mid 1990s as a more proper paradigm to describe the dynamics of tokamak plasma transport in near-marginal conditions as discussed by the authors.
References
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Book
The Fractal Geometry of Nature
TL;DR: This book is a blend of erudition, popularization, and exposition, and the illustrations include many superb examples of computer graphics that are works of art in their own right.
Book
An Introduction to the Fractional Calculus and Fractional Differential Equations
Kenneth S. Miller,Bertram Ross +1 more
TL;DR: The Riemann-Liouville Fractional Integral Integral Calculus as discussed by the authors is a fractional integral integral calculus with integral integral components, and the Weyl fractional calculus has integral components.
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Fractional Brownian Motions, Fractional Noises and Applications
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On the self-similar nature of Ethernet traffic (extended version)
TL;DR: It is demonstrated that Ethernet LAN traffic is statistically self-similar, that none of the commonly used traffic models is able to capture this fractal-like behavior, and that such behavior has serious implications for the design, control, and analysis of high-speed, cell-based networks.
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Wide area traffic: the failure of Poisson modeling
Vern Paxson,Sally Floyd +1 more
TL;DR: It is found that user-initiated TCP session arrivals, such as remote-login and file-transfer, are well-modeled as Poisson processes with fixed hourly rates, but that other connection arrivals deviate considerably from Poisson.