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In this paper we consider a class of interacting particle systems on dynamic random networks, in which the joint dynamics of vertices and edges acts as one-way feedback, i.e., edges appear and disappear over time depending on the state of…

Probability · Mathematics 2025-11-06 Simone Baldassarri , Jiesen Wang

Human communication, the essence of collective social phenomena ranging from small-scale organizations to worldwide online platforms, features intense reciprocal interactions between members in order to achieve stability, cohesion, and…

Human social interactions tend to vary in intensity over time, whether they are in person or online. Variable rates of interaction in structured populations can be described by networks with the time-varying activity of links and nodes. One…

Physics and Society · Physics 2023-04-17 Anzhi Sheng , Qi Su , Aming Li , Long Wang , Joshua B. Plotkin

Representing social systems as networks, starting from the interactions between individuals, sheds light on the mechanisms governing their dynamics. However, networks encode only pairwise interactions, while most social interactions occur…

Physics and Society · Physics 2024-08-29 Iacopo Iacopini , Márton Karsai , Alain Barrat

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

Human activities increasingly take place in online environments, providing novel opportunities for relating individual behaviours to population-level outcomes. In this paper, we introduce a simple generative model for the collective…

Physics and Society · Physics 2014-07-24 James P. Gleeson , Davide Cellai , Jukka-Pekka Onnela , Mason A. Porter , Felix Reed-Tsochas

Complex networks are used to depict topological features of complex systems. The structure of a network characterizes the interactions among elements of the system, and facilitates the study of many dynamical processes taking place on it.…

Physics and Society · Physics 2012-06-22 Yan Zhang , Lin Wang , Yi-Qing Zhang , Xiang Li

Temporal-network models have provided key insights into how time-varying connectivity shapes dynamical processes such as spreading. Among them, the activity-driven model is a widely used, analytically tractable benchmark. Yet many temporal…

Physics and Society · Physics 2025-11-20 Zsófia Simon , Jari Saramäki

The study of human interactions is of central importance for understanding the behavior of individuals, groups and societies. Here, we observe the formation and evolution of networks by monitoring the addition of all new links and we…

Physics and Society · Physics 2013-02-01 Lazaros K. Gallos , Diego Rybski , Fredrik Liljeros , Shlomo Havlin , Hernan A. Makse

Many complex systems change their structure over time, in these cases dynamic networks can provide a richer representation of such phenomena. As a consequence, many inference methods have been generalized to the dynamic case with the aim to…

Social and Information Networks · Computer Science 2023-10-25 Hadiseh Safdari , Martina Contisciani , Caterina De Bacco

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…

Physics and Society · Physics 2015-09-23 Arkadiusz Stopczynski , Alex Sandy Pentland , Sune Lehmann

We study human mobility networks through timeseries of contacts between individuals. Our proposed Random Walkers Induced temporal Graph (RWIG) model generates temporal graph sequences based on independent random walkers that traverse an…

Social and Information Networks · Computer Science 2024-09-16 Anton-David Almasan , Sergey Shvydun , Ingo Scholtes , Piet Van Mieghem

We use computer simulations to study the onset of collective motion in systems of interacting active particles. Our model is a swarm of active Brownian particles with internal energy depot and interactions inspired by the dissipative…

Statistical Mechanics · Physics 2013-05-31 Vladimir Lobaskin , Maksym Romenskyy

Graph models are widely used to study diffusion processes in contact networks. Recent data-driven research has highlighted the significance of indirect links, where interactions are possible when two nodes visit the same place at different…

Social and Information Networks · Computer Science 2019-11-12 Md Shahzamal , Raja Jurdak , Bernard Mans , Frank De Hoog , Dean Paini

The availability of new data sources on human mobility is opening new avenues for investigating the interplay of social networks, human mobility and dynamical processes such as epidemic spreading. Here we analyze data on the time-resolved…

The advantages of temporal networks in capturing complex dynamics, such as diffusion and contagion, has led to breakthroughs in real world systems across numerous fields. In the case of human behavior, face-to-face interaction networks…

Social and Information Networks · Computer Science 2025-06-06 Nicolò Alessandro Girardini , Antonio Longa , Gaia Trebucchi , Giulia Cencetti , Andrea Passerini , Bruno Lepri

The exact mean time between encounters of a given particle in a system consisting of many particles undergoing random walks in discrete time is calculated, on both regular and complex networks. Analytical results are obtained both for…

Statistical Mechanics · Physics 2013-02-07 David P. Sanders

Real networks are complex dynamical systems, evolving over time with the addition and deletion of nodes and links. Currently, there exists no principled mathematical theory for their dynamics -- a grand-challenge open problem. Here, we show…

Physics and Society · Physics 2024-06-18 Evangelos S. Papaefthymiou , Costas Iordanou , Fragkiskos Papadopoulos

Temporal networks model how the interaction between elements in a complex system evolve over time. Just like complex systems display collective dynamics, here we interpret temporal networks as trajectories performing a collective motion in…

Social and Information Networks · Computer Science 2022-10-18 Lucas Lacasa , Jorge P. Rodriguez , Victor M. Eguiluz

In animal societies as well as in human crowds, many observed collective behaviours result from self-organized processes based on local interactions among individuals. However, models of crowd dynamics are still lacking a systematic…

Physics and Society · Physics 2009-09-30 Mehdi Moussaid , Dirk Helbing , Simon Garnier , Anders Johansson , Maud Combe , Guy Theraulaz