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We numerically investigate jamming transitions in complex heterogeneous networks. Inspired by Internet routing protocols, we study a general model that incorporates local traffic information through a tunable parameter. The results show…

Statistical Mechanics · Physics 2007-05-23 Pablo Echenique , Jesus Gomez-Gardenes , Yamir Moreno

In this paper, we study a model of opinion dynamics in a social network in the presence increasing interpersonal influence, i.e., increasing peer pressure. Each agent in the social network has a distinct social stress function given by a…

Social and Information Networks · Computer Science 2017-06-20 Justin Semonsen , Christopher Griffin , Anna Squicciarini , Sarah Rajtmajer

The spread of socially-learnt behaviours occurs in many animal species, and understanding how behaviours spread can provide novel insights into the causes and consequences of sociality. Within wild populations, behaviour spread is often…

Social and Information Networks · Computer Science 2020-12-17 Josh A. Firth , Gregory F. Albery , Kristina B. Beck , Ivan Jarić , Lewis G. Spurgin , Ben C. Sheldon , Will Hoppitt

Synergistic interactions are ubiquitous in the real world. Recent studies have revealed that, for a single-layer network, synergy can enhance spreading and even induce an explosive contagion. There is at the present a growing interest in…

Physics and Society · Physics 2018-03-14 Quan-Hui Liu , Wei Wang , Shi-Min Cai , Ming Tang , Ying-Cheng Lai

Random walks constitute a fundamental mechanism for a large set of dynamics taking place on networks. In this article, we study random walks on weighted networks with an arbitrary degree distribution, where the weight of an edge between two…

Statistical Mechanics · Physics 2013-01-17 Zhongzhi Zhang , Tong Shan , Guanrong Chen

In this work we study the dynamics of systems composed of numerous interacting elements interconnected through a random weighted directed graph, such as models of random neural networks. We develop an original theoretical approach based on…

Chaotic Dynamics · Physics 2015-09-30 Gilles Wainrib , Mathieu Galtier

We consider nonequilibrium phase transitions in weighted scale-free networks, in which highly connected nodes, which are created earlier in time are partially immunized. For epidemic spreading we solve the dynamical mean-field equations and…

Statistical Mechanics · Physics 2010-08-09 Márton Karsai , Róbert Juhász , Ferenc Iglói

Social power quantifies the ability of individuals to influence others and plays a central role in social influence networks. Yet, computing social power typically requires global knowledge and significant computational or storage…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Ye Tian , Angela Fontan , Yu Kawano , Wei Zhang , Kenji Kashima , Karl H. Johansson

Densification and sparsification of temporal networks are attributed to two fundamental mechanisms: a change in the population in the system and/or a change in the chances that nodes in the system are connected. In theory, each of these…

Physics and Society · Physics 2021-02-05 Teruyoshi Kobayashi , Mathieu Génois

The harmonic influence is a measure of the importance of nodes in social networks, which can be approximately computed by a distributed message-passing algorithm. In this extended abstract we look at two open questions about this algorithm.…

Optimization and Control · Mathematics 2018-04-20 Wilbert Samuel Rossi , Paolo Frasca

Natural flocks need to cope with various forms of heterogeneities, for instance, their composition, motility, interaction, or environmental factors. Here, we study the effects of such heterogeneities on the flocking dynamics of the…

Statistical Mechanics · Physics 2025-12-15 Aditya Kumar Dutta , Matthieu Mangeat , Heiko Rieger , Raja Paul , Swarnajit Chatterjee

Animals often exhibit changes in their behavior during migration. Telemetry data provide a way to observe geographic position of animals over time, but not necessarily changes in the dynamics of the movement process. Continuous-time models…

Applications · Statistics 2018-03-30 Mevin B. Hooten , Henry R. Scharf , Trevor J. Hefley , Aaron T. Pearse , Mitch D. Weegman

Scale-free (SF) networks and small world networks have been found to occur in very diverse contexts. It is this striking universality which makes one look for widely applicable mechanisms which lead to the formation of such networks. In…

Disordered Systems and Neural Networks · Physics 2007-05-23 Markus Brede , John Finnigan

Network modeling techniques provide a means for quantifying social structure in populations of individuals. Data used to define social connectivity are often expensive to collect and based on case-specific, ad hoc criteria. Moreover, in…

Heterogeneous adoption thresholds exist widely in social contagions, but were always neglected in previous studies. We first propose a non-Markovian spreading threshold model with general adoption threshold distribution. In order to…

Physics and Society · Physics 2016-01-13 Wei Wang , Ming Tang , Panpan Shu , Zhen Wang

Transport networks are crucial to the functioning of natural and technological systems. Nature features transport networks that are adaptive over a vast range of parameters, thus providing an impressive level of robustness in supply.…

Adaptation and Self-Organizing Systems · Physics 2017-11-28 Erik Andreas Martens , Konstantin Klemm

Several models of flocking have been promoted based on simulations with qualitatively naturalistic behavior. In this paper we provide the first direct application of computational modeling methods to infer flocking behavior from…

Other Quantitative Biology · Quantitative Biology 2015-05-30 Graciano Dieck Kattas , Xiao-Ke Xu , Michael Small

This study investigates the prevalence and implications of nestedness within primate social networks, examining its relationship with cognitive and structural factors. We analysed data from 51 primate groups across 21 species, employing…

Our understanding of the dynamics of complex networked systems has increased significantly in the last two decades. However, most of our knowledge is built upon assuming pairwise relations among the system's components. This is often an…

Physics and Society · Physics 2020-04-15 Guilherme Ferraz de Arruda , Giovanni Petri , Yamir Moreno

Social media is transforming various aspects of offline life, from everyday decisions such as dining choices to the progression of conflicts. In this study, we propose a coupled modelling framework with an online social network layer to…

Physics and Society · Physics 2025-07-21 Moyi Tian , P. Jeffrey Brantingham , Nancy Rodríguez
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