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Percolation plays an important role in fields and phenomena as diverse as the study of social networks, the dynamics of epidemics, the robustness of electricity grids, conduction in disordered media, and geometric properties in statistical…

统计力学 · 物理学 2015-06-10 Mykola Maksymenko , Roderich Moessner , Kirill Shtengel

It is natural to expect that there are only three possible types of scaling limits for the collection of all percolation interfaces in the plane: (1) a trivial one, consisting of no curves at all, (2) a critical one, in which all points of…

概率论 · 数学 2010-02-10 Federico Camia , Matthijs Joosten , Ronald Meester

An explosive percolation transition is the abrupt emergence of a giant cluster at a threshold caused by a suppression of the growth of large clusters. In this paper, we consider the information entropy of the cluster size distribution,…

统计力学 · 物理学 2021-07-28 Yejun Kang , Young Sul Cho

The social networks that infectious diseases spread along are typically clustered. Because of the close relation between percolation and epidemic spread, the behavior of percolation in such networks gives insight into infectious disease…

定量方法 · 定量生物学 2009-05-14 Joel C Miller

The whole frame of interconnections in complex networks hinges on a specific set of structural nodes, much smaller than the total size, which, if activated, would cause the spread of information to the whole network [1]; or, if immunized,…

物理与社会 · 物理学 2015-08-27 Flaviano Morone , Hernan A. Makse

We identify robust statistical patterns in the frequency and severity of violent attacks by terrorist organizations as they grow and age. Using group-level static and dynamic analyses of terrorist events worldwide from 1968-2008 and a…

物理与社会 · 物理学 2012-11-26 Aaron Clauset , Kristian Skrede Gleditsch

Connectivity and reachability on temporal networks, which can describe the spreading of a disease, decimation of information or the accessibility of a public transport system over time, have been among the main contemporary areas of study…

物理与社会 · 物理学 2023-06-13 Arash Badie-Modiri , Abbas K. Rizi , Márton Karsai , Mikko Kivelä

K-core percolation is a fundamental dynamical process in complex networks with applications that span numerous real-world systems. Earlier studies focus primarily on random networks without spatial constraints and reveal intriguing…

物理与社会 · 物理学 2024-07-12 Leyang Xue , Shengling Gao , Lazaros K. Gallos , Orr Levy , Bnaya Gross , Zengru Di , Shlomo Havlin

In this paper, we propose a new averaging model for modeling the competitive influence of $K$ candidates among $n$ voters in an election process. For such an influence propagation model, we address the question of how many seeded voters a…

社会与信息网络 · 计算机科学 2020-09-22 Yu-Hsien Peng , Ping-En Lu , Cheng-Shang Chang , Duan-Shin Lee

We study tolerance and topology of random scale-free networks under attack and defense strategies that depend on the degree k of the nodes. This situation occurs, for example, when the robustness of a node depends on its degree or in an…

无序系统与神经网络 · 物理学 2009-11-11 Lazaros K. Gallos , Reuven Cohen , Panos Argyrakis , Armin Bunde , Shlomo Havlin

Doping Pr in 123-systems gives rise to some anomalies, such as TC suppression. Here, we show that a modification of hole localization theory based on a geometrical modeling by band percolation theory can put forward a good explanations for…

超导电性 · 物理学 2007-05-23 M. D. Niry , V. Daadmehr , A. T. Rezakhani

Bootstrap percolation is an often used model to study the spread of diseases, rumors, and information on sparse random graphs. The percolation process demonstrates a critical value such that the graph is either almost completely affected or…

概率论 · 数学 2015-12-07 Peter Ballen , Sudipto Guha

While classical percolation is well understood, percolation effects in randomly packed or jammed structures are much less explored. Here we investigate both experimentally and theoretically the electrical percolation in a binary composite…

材料科学 · 物理学 2021-04-20 Shiva Pokhrel , Brendon Waters , Solveig Felton , Zhi-Feng Huang , Boris Nadgorny

The explosive percolation problem on the complete graph is investigated via extensive numerical simulations. We obtain the cluster-size distribution at the moment when the cluster size heterogeneity becomes maximum. The distribution is…

统计力学 · 物理学 2015-05-27 Hyun Keun Lee , Beom Jun Kim , Hyunggyu Park

The relevance of the topic is dictated by the fact that in recent decades, the threat to international security emanating from terrorism has increased many times. Terrorist organizations have become full-fledged subjects of politics on a…

综合经济学 · 经济学 2021-08-26 Ivan Kucherkov , Mattia Masolletti

We consider self-avoiding walks (SAWs) on the backbone of percolation clusters in space dimensions d=2, 3, 4. Applying numerical simulations, we show that the whole multifractal spectrum of singularities emerges in exploring the…

无序系统与神经网络 · 物理学 2009-11-13 Viktoria Blavatska , Wolfhard Janke

We estimate locations of the regions of the percolation and of the non-percolation in the plane $(\lambda,\beta)$: the Poisson rate -- the inverse temperature, for interacted particle systems in finite dimension Euclidean spaces. Our…

数学物理 · 物理学 2015-05-13 E. Pechersky , A. Yambartsev

Percolation on two-dimensional small-world networks has been proposed as a model for the spread of plant diseases. In this paper we give an analytic solution of this model using a combination of generating function methods and high-order…

统计力学 · 物理学 2009-11-07 M. E. J. Newman , I. Jensen , R. M. Ziff

Bootstrap percolation is a well-known activation process in a graph, in which a node becomes active when it has at least $r$ active neighbors. Such process, originally studied on regular structures, has been recently investigated also in…

社会与信息网络 · 计算机科学 2016-03-16 Michele Garetto , Emilio Leonardi , Giovanni Luca Torrisi

Random Threshold Networks with sparse, asymmetric connections show complex dynamical behavior similar to Random Boolean Networks, with a transition from ordered to chaotic dynamics at a critical average connectivity $K_c$. In this type of…

统计力学 · 物理学 2009-11-07 Thimo Rohlf , Stefan Bornholdt