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Queueing theory has been recently proposed as a framework to model the heavy tailed statistics of human activity patterns. The main predictions are the existence of a power-law distribution for the interevent time of human actions and two…

Physics and Society · Physics 2009-02-13 J. G. Oliveira , A. Vazquez

Most social, technological and biological networks are embedded in a finite dimensional space, and the distance between two nodes influences the likelihood that they link to each other. Indeed, in social systems, the chance that two…

Physics and Society · Physics 2018-06-27 Paul Balister , Chaoming Song , Oliver Riordan , Bela Bollobas , Albert-Laszlo Barabasi

Contacts between individuals serve as pathways where infections may propagate. These contact patterns can be represented by network structures. Static structures have been the common modeling paradigm but recent results suggest that…

Populations and Evolution · Quantitative Biology 2012-04-25 Luis Enrique Correa Rocha , Adeline Decuyper , Vincent D Blondel

Human close-range proximity interactions are the key determinant for spreading processes like knowledge diffusion, norm adoption, and infectious disease transmission. These dynamical processes can be modeled with time-respecting paths on…

Physics and Society · Physics 2026-05-28 Silvia Guerrini , Ciro Cattuto , Lorenzo Dall'Amico

The dynamics of contact networks and epidemics of infectious diseases often occur on comparable time scales. Ignoring one of these time scales may provide an incomplete understanding of the population dynamics of the infection process. We…

Populations and Evolution · Quantitative Biology 2021-02-09 Luis E C Rocha , Naoki Masuda

Capturing the structured mixing within a population is key to the reliable projection of infectious disease dynamics and hence informed control. Both heterogeneity in the number of contacts and age-structured mixing have been repeatedly…

Social and Information Networks · Computer Science 2026-03-17 Luke Murray Kearney , Emma L Davis , Matt J Keeling

In human and animal groups, social interactions often rely on the transmission of information via visual observation of the behavior of others. These visual interactions are governed by the laws of physics and sensory limits. Individuals…

Biological Physics · Physics 2021-06-21 Winnie Poel , Claudia Winklmayr , Pawel Romanczuk

Modeling social systems as networks based on pairwise interactions between individuals offers valuable insights into the mechanisms underlying their dynamics. However, the majority of social interactions occur within groups of individuals,…

Physics and Society · Physics 2025-02-14 Liang Yuan , Jiao Wu , Kesheng Xu , Muhua Zheng

In a co-evolutionary context, the survive probability of individual elements of a system depends on their relation with their neighbors. The natural selection process depends on the whole population, which is determined by local events…

Biological Physics · Physics 2009-11-13 Juan G. Diaz Ochoa

We propose a novel class of network models for temporal dyadic interaction data. Our goal is to capture a number of important features often observed in social interactions: sparsity, degree heterogeneity, community structure and…

Machine Learning · Statistics 2018-10-30 Xenia Miscouridou , François Caron , Yee Whye Teh

Records of social interactions provide us with new sources of data for understanding how interaction patterns affect collective dynamics. Such human activity patterns are often bursty, i.e., they consist of short periods of intense activity…

Physics and Society · Physics 2015-06-05 Taro Takaguchi , Naoki Masuda , Petter Holme

We consider a random walker whose motion is tethered around a focal point. We use two models that exhibit the same spatial dependence in the steady state but widely different dynamics. In one case, the walker is subject to a deterministic…

Statistical Mechanics · Physics 2019-01-11 Luca Giuggioli , Shamik Gupta , Matt Chase

Graph models are widely used to analyse diffusion processes embedded in social contacts and to develop applications. A range of graph models are available to replicate the underlying social structures and dynamics realistically. However,…

Social and Information Networks · Computer Science 2018-07-27 Md Shahzamal , Raja Jurdak , Bernard Mans , Frank de Hoog

The recent availability of digital traces from Information and Communications Technologies (ICT) has facilitated the study of both individual- and population-level movement with unprecedented spatiotemporal resolution, enabling us to better…

Physics and Society · Physics 2023-10-10 Surendra Hazarie , Hugo Barbosa , Adam Frank , Ronaldo Menezes , Gourab Ghoshal

Individuals are always limited by some inelastic resources, such as time and energy, which restrict them to dedicate to social interaction and limit their contact capacity. Contact capacity plays an important role in dynamics of social…

Physics and Society · Physics 2015-12-25 Wei Wang , Panpan Shu , Yu-Xiao Zhu , Ming Tang , Yi-Cheng Zhang

We develop predictive models of pedestrian dynamics by encoding the coupled nature of multi-pedestrian interaction using game theory, and deep learning-based visual analysis to estimate person-specific behavior parameters. Building…

Computer Vision and Pattern Recognition · Computer Science 2017-03-29 Wei-Chiu Ma , De-An Huang , Namhoon Lee , Kris M. Kitani

Self-interacting random walks are endowed with long range memory effects that emerge from the interaction of the random walker at time $t$ with the territory that it has visited at earlier times $t'<t$. This class of non Markovian random…

Statistical Mechanics · Physics 2021-09-28 Alex Barbier--Chebbah , Olivier Benichou , Raphael Voituriez

Complex systems are often characterized by the interplay of multiple interconnected dynamical processes operating across a range of temporal scales. This phenomenon is widespread in both biological and artificial scenarios, making it…

Statistical Mechanics · Physics 2025-09-08 Giorgio Nicoletti , Daniel M. Busiello

Random walks are used for modeling various dynamics in, for example, physical, biological, and social contexts. Furthermore, their characteristics provide us with useful information on the phase transition and critical phenomena of even…

Statistical Mechanics · Physics 2007-05-23 Naoki Masuda , Norio Konno

We study diffusion on a multilayer network where the contact dynamics between the nodes is governed by a random process and where the waiting time distribution differs for edges from different layers. We study the impact on a random walk of…

Physics and Society · Physics 2018-12-18 Martin Gueuning , Sibo Cheng , Renaud Lambiotte , Jean-Charles Delvenne