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Percolation theory concerns the emergence of connected clusters that percolate through a networked system. Previous studies ignored the effect that a node outside the percolating cluster may actively induce its inside neighbours to exit the…

Statistical Mechanics · Physics 2013-09-12 Jin-Hua Zhao , Hai-Jun Zhou , Yang-Yu Liu

Measuring and optimizing the influence of nodes in big-data online social networks are important for many practical applications, such as the viral marketing and the adoption of new products. As the viral spreading on social network is a…

Physics and Society · Physics 2018-07-31 Yanqing Hu , Shenggong Ji , Yuliang Jin , Ling Feng , H. Eugene Stanley , Shlomo Havlin

Because of the non-uniformity of the electric power CPS network and the dynamic nature of the risk propagation process, it is difficult to quantify the critical point of a cyber risk explosion. From the perspective of the dependency…

Physics and Society · Physics 2018-11-13 Zhaoyang Qu , Yu Zhang , Nan Qu , Lei Wang , Yang Li , Yunchang Dong

How does removal of sites by a random walk lead to blockage of percolation? To study this problem of correlated site percolation, we consider a random walk (RW) of $N=uL^d$ steps on a $d$-dimensional hypercubic lattice of size $L^d$ (with…

Statistical Mechanics · Physics 2019-08-22 Yacov Kantor , Mehran Kardar

Many new products fail, despite preliminary market surveys having determined considerable potential market share. This effect is too systematic to be attributed to bad luck. We suggest an explanation by presenting a new percolation theory…

Other Condensed Matter · Physics 2007-05-23 Tom Erez , Sarit Moldovan , Sorin Solomon

Quantum networks are essential to quantum information distributed applications, and communicating over them is a key challenge. Complex networks have rich and intriguing properties, which are as yet unexplored in the quantum setting. Here,…

Quantum Physics · Physics 2009-12-15 M. Cuquet , J. Calsamiglia

The study of interdependent networks, and in particular the robustness on networks, has attracted considerable attention. Recent studies mainly assume that the dependence is fully interdependent. However, targeted attack for partially…

Data Analysis, Statistics and Probability · Physics 2015-05-30 Gao-Gao Dong , Jian-Xi Gao , Li-Xin Tian , Rui-Jin Du , Ying-Huan He

In the spirit of Richardson's original (1948) study of the statistics of deadly conflicts, we study the frequency and severity of terrorist attacks worldwide since 1968. We show that these events are uniformly characterized by the…

Physics and Society · Physics 2007-05-23 Aaron Clauset , Maxwell Young , Kristian Skrede Gleditsch

We examine the effects of introducing a wall or edge into a directed percolation process. Scaling ansatzes are presented for the density and survival probability of a cluster in these geometries, and we make the connection to surface…

Statistical Mechanics · Physics 2009-10-30 Per Frojdh , Martin Howard , Kent B. Lauritsen

Statistical evidence of the influence of neighborhood topology on the performance of particle swarm optimization (PSO) algorithms has been shown in many works. However, little has been done about the implications could have the percolation…

Artificial Intelligence · Computer Science 2012-04-18 Blanca Cases , Alicia D'Anjou , Abdelmalik Moujahid

We obtain the exact position of the percolation threshold in intentionally damaged scale-free networks.

Statistical Mechanics · Physics 2009-11-07 S. N. Dorogovtsev , J. F. F. Mendes

I present a unified discussion of several recently published results concerning the escalation, timing and severity of violent events in human conflicts and global terrorism, and set them in the wider context of real-world and cyber-based…

Physics and Society · Physics 2011-09-12 Neil F. Johnson

Connectivity - or the lack thereof - is crucial for the function of many man-made systems, from financial and economic networks over epidemic spreading in social networks to technical infrastructure. Often, connections are deliberately…

Disordered Systems and Neural Networks · Physics 2017-12-13 Malte Schröder , Nuno A. M. Araújo , Didier Sornette , Jan Nagler

Global climate warming poses a significant challenge to humanity; it is associated with, e.g., rising sea level and declining Arctic sea ice. Increasing extreme events are also considered to be a result of climate…

Physics and Society · Physics 2019-01-23 Jingfang Fan , Jun Meng , Yosef Ashkenazy , Shlomo Havlin , Hans Joachim Schellnhuber

Percolation problems appear in a large variety of different contexts ranging from the design of composite materials to vaccination strategies on community networks. The key observable for many applications is the percolation threshold.…

Statistical Mechanics · Physics 2025-06-16 Fabian Coupette , Tanja Schilling

The statistical analysis of cosmic large-scale structure is most often based on simple two-point summary statistics, like the power spectrum or the two-point correlation function of a sample of galaxies or other types of tracers. In…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-23 Eniko Regos , Volker Springel , Sownak Bose , Boryana Hadzhiyska , Cesar Hernandez-Aguayo

Global physical properties of random media change qualitatively at a percolation threshold, where isolated clusters merge to form one infinite connected component. The precise knowledge of percolation thresholds is thus of paramount…

Statistical Mechanics · Physics 2008-01-13 Richard A. Neher , Klaus Mecke , Herbert Wagner

The events of 9/11 brought an increased focus on security in the United States and specifically the protection of critical infrastructure. Critical infrastructure encompasses a wide array of critical assets such as the electric power grid,…

Disordered Systems and Neural Networks · Physics 2007-05-23 Sean Gorman , Laurie Schintler , Raj Kulkarni , Roger Stough

Complex socioeconomic networks such as information, finance and even terrorist networks need resilience to cascades - to prevent the failure of a single node from causing a far-reaching domino effect. We show that terrorist and guerrilla…

Combinatorics · Mathematics 2010-11-23 Alexander Gutfraind

Spread of information in crowd is analysed in terms of directed percolation in two-dimensional spatial network. We investigate the case when the information transmitted can be incomplete or damaged. The results indicate that for small or…

Physics and Society · Physics 2011-04-26 Krzysztof Malarz , Vikas Chandra , Eve Mitleton-Kelly , Krzysztof Kulakowski