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Capturing the dynamics of granular flows at intermediate length scales can often be difficult. We propose studying the dynamics of contact networks as a new tool to study fracture at intermediate scales. Using experimental three-dimensional…

Soft Condensed Matter · Physics 2012-08-17 Mark Herrera , Shane McCarthy , Steven Slotterback , Emmanuel Cephas , Wolfgang Losert , Michelle Girvan

It is known that the heterogeneity of scale-free networks helps enhancing the efficiency of trapping processes performed on them. In this paper, we show that transport efficiency is much lower in a fractal scale-free network than in…

Statistical Mechanics · Physics 2009-10-18 Zhongzhi Zhang , Wenlei Xie , Shuigeng Zhou , Shuyang Gao , Jihong Guan

We present a simple model reproducing the long-range autocorrelations and the power spectrum of the web traffic. The model assumes the traffic as Poisson flow of files with size distributed according to the power-law. In this model the…

Networking and Internet Architecture · Computer Science 2007-05-23 V. Gontis , B. Kaulakys , J. Ruseckas

Internet is known to display a highly heterogeneous structure and complex fluctuations in its traffic dynamics. Congestion seems to be an inevitable result of user's behavior coupled to the network dynamics and it effects should be…

Disordered Systems and Neural Networks · Physics 2009-11-10 Sergi Valverde , Ricard V. Sole

The paper is concerned with the interplay between network structure and traffic dynamics in a communications network, from the viewpoint of end-to-end performance of packet transfer. We use a model of network generation that allows the…

Disordered Systems and Neural Networks · Physics 2016-11-18 David Arrowsmith , Mario di Bernardo , Francesco Sorrentino

Data series generated by complex systems exhibit fluctuations on many time scales and/or broad distributions of the values. In both equilibrium and non-equilibrium situations, the natural fluctuations are often found to follow a scaling…

Data Analysis, Statistics and Probability · Physics 2008-04-07 Jan W. Kantelhardt

The dynamical properties of road traffic time series from North-Rhine Westphalian motorways are investigated. The article shows that road traffic dynamics is well described as a persistent stochastic process with two fixed points…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Helge Siegel , Dennis Belomestnyi

The efficiency of flow-based networking mechanisms strongly depends on traffic characteristics and should thus be assessed using accurate flow models. For example, in the case of algorithms based on the distinction between elephant and mice…

Networking and Internet Architecture · Computer Science 2020-12-29 Piotr Jurkiewicz , Grzegorz Rzym , Piotr Boryło

Foundation models have shown great promise in various fields of study. A potential application of such models is in computer network traffic analysis, where these models can grasp the complexities of network traffic dynamics and adapt to…

Machine Learning · Computer Science 2024-09-13 Louis Van Langendonck , Ismael Castell-Uroz , Pere Barlet-Ros

A network-based analysis of a turbulent channel flow numerically solved at $Re_\tau=180$ is proposed as an innovative perspective for the spatial characterization of the flow field. Two spatial networks corresponding to the streamwise and…

Fluid Dynamics · Physics 2018-08-31 Giovanni Iacobello , Stefania Scarsoglio , J. G. M. Kuerten , Luca Ridolfi

We consider a single server queue that serves a finite population of $n$ customers that will enter the queue (require service) only once, also known as the $\Delta_{(i)}/G/1$ queue. This paper presents a method for analyzing heavy-traffic…

Probability · Mathematics 2015-12-01 Gianmarco Bet , Remco van der Hofstad , Johan S. H. van Leeuwaarden

The multifractal detrended fluctuation analysis of time series is able to reveal the presence of long-range correlations and, at the same time, to characterize the self-similarity of the series. The rich information derivable from the…

Biomolecules · Quantitative Biology 2015-02-06 Enrico Maiorino , Lorenzo Livi , Alessandro Giuliani , Alireza Sadeghian , Antonello Rizzi

The central points of communication network flow has often been identified using graph theoretical centrality measures. In real networks, the state of traffic density arises from an interplay between the dynamics of the flow and the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Petter Holme

Many transport processes on networks depend crucially on the underlying network geometry, although the exact relationship between the structure of the network and the properties of transport processes remain elusive. In this paper we…

Physics and Society · Physics 2015-06-26 Bosiljka Tadic , G. J. Rodgers , Stefan Thurner

Nonlinear time series analysis aims at understanding the dynamics of stochastic or chaotic processes. In recent years, quite a few methods have been proposed to transform a single time series to a complex network so that the dynamics of the…

Chaotic Dynamics · Physics 2015-03-17 Wen-Jie Xie , Wei-Xing Zhou

For realistic scale-free networks, we investigate the traffic properties of stochastic routing inspired by a zero-range process known in statistical physics. By parameters $\alpha$ and $\delta$, this model controls degree-dependent hopping…

Physics and Society · Physics 2015-03-17 Yukio Hayashi , Yasumasa Ono

We present a study of deep learning applied to the domain of network traffic data forecasting. This is a very important ingredient for network traffic engineering, e.g., intelligent routing, which can optimize network performance,…

Machine Learning · Computer Science 2019-09-13 Benedikt Pfülb , Christoph Hardegen , Alexander Gepperth , Sebastian Rieger

We propose a model of random diffusion to investigate flow fluctuations in complex networks. We derive an analytical law showing that the dependence of fluctuations with the mean traffic in a network is ruled by the delicate interplay of…

Physics and Society · Physics 2008-05-21 S. Meloni , J. Gomez-Gardenes , V. Latora , Y. Moreno

Many studies have shown that we can gain additional information on time series by investigating their accompanying complex networks. In this work, we investigate the fundamental topological and fractal properties of recurrence networks…

Statistical Mechanics · Physics 2015-06-19 Jin-Long Liu , Zu-Guo Yu , Vo Anh

We study the dynamics of the Internet topology based on the empirical data on the level of the autonomous systems. It is found that the fluctuations occurring in the stochastic process of connecting and disconnecting edges are important…

Statistical Mechanics · Physics 2009-11-07 K. -I. Goh , B. Kahng , D. Kim