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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…

物理与社会 · 物理学 2008-05-21 S. Meloni , J. Gomez-Gardenes , V. Latora , Y. Moreno

We introduce a self-organized model of graph evolution associated with preferential network random walkers. The idea is developed by using two different types of walkers, the interactions of which lead to a dynamic graph. The walkers of the…

统计力学 · 物理学 2012-06-01 S. Mehraban , M. R. Ejtehadi

Analysis of aggregate Web traffic has shown that PageRank is a poor model of how people actually navigate the Web. Using the empirical traffic patterns generated by a thousand users over the course of two months, we characterize the…

人机交互 · 计算机科学 2010-04-27 Bruno Goncalves , Mark R. Meiss , Jose J. Ramasco , Alessandro Flammini , Filippo Menczer

We use sequential large-scale crawl data to empirically investigate and validate the dynamics that underlie the evolution of the structure of the web. We find that the overall structure of the web is defined by an intricate interplay…

计算机与社会 · 计算机科学 2009-01-06 Joseph S. Kong , Nima Sarshar , Vwani P. Roychowdhury

Understanding the properties of response time distributions is a long-standing problem in cognitive science. We provide a tutorial overview of several contemporary models that assume power law scaling is a plausible description of the…

神经元与认知 · 定量生物学 2015-10-15 Z. Liu , O. Pavlov Garcia , J. G. Holden , R. A. Serota

We present the analytical and numerical results of a random walk on the family of small-world graphs. The average access time shows a crossover from the regular to random behavior with increasing distance from the starting point of the…

统计力学 · 物理学 2009-10-31 Sagar A. Pandit , R. E. Amritkar

Many weighted scale-free networks are known to have a power-law correlation between strength and degree of nodes, which, however, has not been well explicated. We investigate the dynamic behaviors of resource/traffic flow on scale-free…

物理与社会 · 物理学 2009-11-11 Qing Ou , Ying-Di Jin , Tao Zhou , Bing-Hong Wang , Bao-Qun Yin

Understanding the topological characteristics of complex networks and how they affect navigability is one of the most important goals in science today, as it plays a central role in various economic, biological, ecological and social…

物理与社会 · 物理学 2020-04-29 M. S. Chaves , T. G. Mattos , A. P. F. Atman

Many popular measures used in social network analysis, including centrality, are based on the random walk. The random walk is a model of a stochastic process where a node interacts with one other node at a time. However, the random walk may…

社会与信息网络 · 计算机科学 2014-03-31 Rumi Ghosh , Kristina Lerman

Many complex systems can be described as multiplex networks in which the same nodes can interact with one another in different layers, thus forming a set of interacting and co-evolving networks. Examples of such multiplex systems are social…

物理与社会 · 物理学 2013-11-12 Arda Halu , Raul J. Mondragon , Pietro Panzarasa , Ginestra Bianconi

Individual nodes in evolving real-world networks typically experience growth and decay --- that is, the popularity and influence of individuals peaks and then fades. In this paper, we study this phenomenon via an intrinsic nodal fitness…

物理与社会 · 物理学 2015-05-20 Xin-Jian Xu , Xiao-Long Peng , Michael Small , Xin-Chu Fu

This letter introduces a mechanism for constructing, through a process of distributed decision-making, substrates for the study of collective dynamics on extended power-law weighted networks with both a desired scaling exponent and a fixed…

物理与社会 · 物理学 2013-01-18 P. Moriano , J. Finke

We study the detailed epidemic spreading process in scale-free networks with weight that denote familiarity between two people or computers. The result shows that spreading velocity reaches a peak quickly then decays representing power-law…

无序系统与神经网络 · 物理学 2007-05-23 G. Yan , Tao Zhou , Jie Wang , Zhongqian Fu , Binghong Wang

Network growth models that embody principles such as preferential attachment and local attachment rules have received much attention over the last decade. Among various approaches, random walks have been leveraged to capture such…

概率论 · 数学 2017-11-09 Giulio Iacobelli , Daniel R. Figueiredo , Giovanni Neglia

The rapid development of Internet technology enables human explore the web and record the traces of online activities. From the analysis of these large-scale data sets (i.e. traces), we can get insights about dynamic behavior of human…

物理与社会 · 物理学 2013-03-12 Zhi-Dan Zhao , Shi-Min Cai , Junming Huang , Yan Fu , Tao Zhou

Several studies on real complex networks from different fields as biology, economy, or sociology have shown that the degree of nodes (number of edges connected to each node) follows a scale-free power-law distribution like $P(k)\approx…

生物物理 · 物理学 2007-05-23 J. C. Nacher , T. Yamada , S. Goto , M. Kanehisa , T. Akutsu

The scaling properties of the roughness of surfaces grown by two different processes randomly alternating in time, are addressed. The duration of each application of the two primary processes is assumed to be independently drawn from given…

统计力学 · 物理学 2009-11-07 Subhadip Raychaudhuri , Yonathan Shapir

The scaling behavior of fluctuation for a download network which we have investigated a few years ago based upon Zhang's Encophysics web page has been presented. A power law scaling, namely $\sigma \sim < f> ^ \alpha $ exists between the…

物理与社会 · 物理学 2008-11-26 D. D. Han , J. G. Liu , Y. G. Ma

We introduce the notion of globally updating evolution for a class of weighted networks, in which the weight of a link is characterized by the amount of data packet transport flowing through it. By noting that the packet transport over the…

统计力学 · 物理学 2009-11-10 K. -I. Goh , B. Kahng , D. Kim

Networks are well-established representations of social systems, and temporal networks are widely used to study their dynamics. Temporal network data often consist in a succession of static networks over consecutive time windows whose…

物理与社会 · 物理学 2021-09-30 Valeria Gelardi , Didier Le Bail , Alain Barrat , Nicolas Claidière