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This work addresses the superdiffusive motion of a discrete time random walker on ordered discrete substrates and complex networks with the presence of long-range interactions (LRIs). In ordered regular lattices, where LRIs have a clear…

Most infectious diseases spread on a dynamic network of human interactions. Recent studies of social dynamics have provided evidence that spreading patterns may depend strongly on detailed micro-dynamics of the social system. We have…

物理与社会 · 物理学 2015-09-23 Arkadiusz Stopczynski , Alex Sandy Pentland , Sune Lehmann

Using a simple model with link removals as well as link additions, we show that an evolving network is scale free with a degree exponent in the range of (2, 4]. We then establish a relation between the network evolution and a set of…

数学物理 · 物理学 2007-05-23 Dinghua Shi , Liming Liu , Xiang Zhu , Huijie Zhou , Binbin Wang

The most striking feature of quark distribution functions transformed to the longitudinal distance representation is the recognizable separation of small and large longitudinal distances. While the former are responsible for the average…

高能物理 - 唯象学 · 物理学 2009-10-28 L. Mankiewicz , T. Weigl

Networks are important representations in computer science to communicate structural aspects of a given system of interacting components. The evolution of a network has several topological properties that can provide us information on the…

社会与信息网络 · 计算机科学 2020-04-30 Joao Pita Costa , Tihana Galinac Grbac

In a range of scientific coauthorship networks, transitions emerge in degree distributions, correlations between degrees and local clustering coefficients, etc. The existence of those transitions could be regarded as a result of the…

物理与社会 · 物理学 2018-06-19 Zheng Xie , Enming Dong , Dongyun Yi , Ouyang Zhenzheng , Jianping Li

The community structure and motif-modular-network hierarchy are of great importance for understanding the relationship between structures and functions. In this paper, we investigate the distribution of clique-degree, which is an extension…

物理与社会 · 物理学 2009-11-11 Wei-Ke Xiao , Jie Ren , Qi Feng , Zhi-Wei Song , Meng-Xiao Zhu , Hong-Feng Yang , Hui-Yu Jin , Bing-Hong Wang , Tao Zhou

Knowledge networks have become increasingly important as a changing repository of data which can be represented, studied and modeled by using complex networks concepts and methodologies. Here we report a study of knowledge networks…

物理与社会 · 物理学 2023-06-29 Eric K. Tokuda , Renaud Lambiotte , Luciano da F. Costa

Random geometric graphs are a popular choice for a latent points generative model for networks. Their definition is based on a sample of $n$ points $X_1,X_2,\cdots,X_n$ on the Euclidean sphere~$\mathbb{S}^{d-1}$ which represents the latent…

机器学习 · 统计学 2019-09-17 Ernesto Araya , Yohann De Castro

Dynamical processes taking place on networks have received much attention in recent years, especially on various models of random graphs (including small world and scale free networks). They model a variety of phenomena, including the…

概率论 · 数学 2007-05-23 Jonathan Rowe , Boris Mitavskiy

Networks composed from both connectivity and dependency links were found to be more vulnerable compared to classical networks with only connectivity links. Their percolation transition is usually of a first order compared to the second…

统计力学 · 物理学 2015-05-27 Amir Bashan , Roni Parshani , Shlomo Havlin

The entropy of network ensembles characterizes the amount of information encoded in the network structure, and can be used to quantify network complexity, and the relevance of given structural properties observed in real network datasets…

无序系统与神经网络 · 物理学 2014-06-18 Kartik Anand , Dimitri Krioukov , Ginestra Bianconi

We study the effect of electrostatic interactions on the distribution function of the end-to-end distance of a single polyelectrolyte chain in the rodlike limit. The extent to which the radial distribution function of a polyelectrolyte is…

软凝聚态物质 · 物理学 2009-11-10 Roya Zandi , Joseph Rudnick , Ramin Golestanian

We study spatial networks constructed by randomly placing nodes on a manifold and joining two nodes with an edge whenever their distance is less than a certain cutoff. We derive the general expression for the connectivity distribution of…

无序系统与神经网络 · 物理学 2009-11-10 Carl Herrmann , Marc Barthelemy , Paolo Provero

We study the effects of nonreciprocity and network structure on percolation. To this end, we investigate nonreciprocal random networks - directed networks for which the probability of a link occurring from node i to node j differs from the…

统计力学 · 物理学 2025-10-07 Chanania Steinbock

The spread of an infection on a real-world social network is determined by the interplay of two processes: the dynamics of the network, whose structure changes over time according to the encounters between individuals, and the dynamics on…

物理与社会 · 物理学 2015-10-28 Lorenzo Coviello , Massimo Franceschetti , Manuel Garcia-Herranz , Iyad Rahwan

Physics is one of the most successful endeavors in science. Being a prototypic big science it also reflects the growing tendency for scientific collaborations. Utilizing 250,000 papers from ArXiv.org a prepublishing platform prevalent in…

物理与社会 · 物理学 2016-10-04 Raphael H. Heiberger , Oliver J. Wieczorek

The problem of predicting links in large networks is an important task in a variety of practical applications, including social sciences, biology and computer security. In this paper, statistical techniques for link prediction based on the…

应用统计 · 统计学 2021-09-01 Francesco Sanna Passino , Anna S. Bertiger , Joshua C. Neil , Nicholas A. Heard

We investigate transitions of portals users between different subpages. A weighted network of portals subpages is reconstructed where edge weights are numbers of corresponding transitions. Distributions of link weights and node strengths…

物理与社会 · 物理学 2015-05-13 Anna M. Chmiel , Kamila Kowalska , Janusz A. Holyst

A key ingredient of current models proposed to capture the topological evolution of complex networks is the hypothesis that highly connected nodes increase their connectivity faster than their less connected peers, a phenomenon called…

统计力学 · 物理学 2009-11-07 H. Jeong , Z. Neda , A. -L. Barabasi