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The voter model and the Axelrod model are two of the main stochastic processes that describe the spread of opinions on networks. The former includes social influence, the tendency of individuals to become more similar when they interact,…

Probability · Mathematics 2010-12-30 Nicolas Lanchier

Graphs are now ubiquitous in almost every field of research. Recently, new research areas devoted to the analysis of graphs and data associated to their vertices have emerged. Focusing on dynamical processes, we propose a fast, robust and…

Social and Information Networks · Computer Science 2016-02-02 Kirell Benzi , Benjamin Ricaud , Pierre Vandergheynst

We consider a gossiping network where a source forwards updates to a set of $n$ gossiping nodes that are placed in an arbitrary graph structure and gossip with their neighbors. In this paper, we analyze how mobility of nodes affects the…

Information Theory · Computer Science 2024-09-27 Arunabh Srivastava , Sennur Ulukus

The Aldous gossip process represents the dissemination of information in geographical space as a process of locally deterministic spread, augmented by random long range transmissions. Starting from a single initially informed individual,…

Probability · Mathematics 2018-11-26 A. D. Barbour , A. Röllin

Face-to-face interaction networks describe social interactions in human gatherings, and are the substrate for processes such as epidemic spreading and gossip propagation. The bursty nature of human behavior characterizes many aspects of…

Physics and Society · Physics 2013-04-24 Michele Starnini , Andrea Baronchelli , Romualdo Pastor-Satorras

Human social interactions in local settings can be experimentally detected by recording the physical proximity and orientation of people. Such interactions, approximating face-to-face communications, can be effectively represented as time…

Physics and Society · Physics 2020-10-08 Giulia Cencetti , Federico Battiston , Bruno Lepri , Márton Karsai

Curiosity is the strong desire to learn or know more about something or someone. Since learning is often a social endeavor, social dynamics in collaborative learning may inevitably influence curiosity. There is a scarcity of research,…

Human-Computer Interaction · Computer Science 2017-10-24 Tanmay Sinha , Zhen Bai , Justine Cassell

The timing patterns of human communication in social networks is not random. On the contrary, communication is dominated by emergent statistical laws such as non-trivial correlations and clustering. Recently, we found long-term correlations…

Physics and Society · Physics 2014-09-15 Diego Rybski , Sergey V. Buldyrev , Shlomo Havlin , Fredrik Liljeros , Hernan A. Makse

We derive the mean-field equations characterizing the dynamics of a rumor process that takes place on top of complex heterogeneous networks. These equations are solved numerically by means of a stochastic approach. First, we present…

Statistical Mechanics · Physics 2009-11-10 Yamir Moreno , Maziar Nekovee , Amalio. F. Pacheco

Nowadays, millions of people interact on a daily basis on online social media like Facebook and Twitter, where they share and discuss information about a wide variety of topics. In this paper, we focus on a specific online social network,…

Physics and Society · Physics 2016-04-06 Elisa Omodei , Manlio De Domenico , Alex Arenas

A gossip network is considered in which a source node updates its status while other nodes in the network aim at keeping track of it as it varies over time. Information gets disseminated by the source sending status updates to the nodes,…

Information Theory · Computer Science 2025-09-26 Irtiza Hasan , Ahmed Arafa

Statistical analysis on networks has received growing attention due to demand from various emerging applications. In dynamic networks, one of the key interests is to model the event history of time-stamped interactions amongst nodes. We…

Methodology · Statistics 2018-10-09 Tony Sit , Zhiliang Ying , Yi Yu

Spreading dynamics and complex contagion processes on networks are important mechanisms underlying the emergence of critical transitions, tipping points and other nonlinear phenomena in complex human and natural systems. Increasing amounts…

This study examines Facebook and YouTube content from over a thousand news outlets in four European languages from 2018 to 2023, using a Bayesian structural time-series model to evaluate the impact of viral posts. Our results show that most…

Social and Information Networks · Computer Science 2024-07-19 Emanuele Sangiorgio , Niccolò Di Marco , Gabriele Etta , Matteo Cinelli , Roy Cerqueti , Walter Quattrociocchi

The propagation of rumours on social media poses an important threat to societies, so that various techniques for rumour detection have been proposed recently. Yet, existing work focuses on \emph{what} entities constitute a rumour, but…

Social and Information Networks · Computer Science 2022-07-19 Thanh Tam Nguyen , Thanh Cong Phan , Minh Hieu Nguyen , Matthias Weidlich , Hongzhi Yin , Jun Jo , Quoc Viet Hung Nguyen

We consider a communication system where a group of users, interconnected in a bidirectional gossip network, wishes to follow a time-varying source, e.g., updates on an event, in real-time. The users wish to maintain their expected version…

Information Theory · Computer Science 2024-05-02 Priyanka Kaswan , Melih Bastopcu , Sennur Ulukus , S. Rasoul Etesami , Tamer Başar

Widespread interest in the diffusion of information through social networks has produced a large number of Social Dynamics models. A majority of them use theoretical hypothesis to explain their diffusion mechanisms while the few empirically…

Physics and Society · Physics 2011-05-18 José Luis Iribarren , Esteban Moro

We study how to jointly recover the community structure and estimate the interaction probabilities of gossip opinion dynamics. In this process, agents randomly interact pairwise, and there are stubborn agents never changing their states.…

Systems and Control · Electrical Eng. & Systems 2023-08-29 Yu Xing , Xingkang He , Haitao Fang , Karl H. Johansson

We consider the problem of estimating the latent structure of a social network based on the observed information diffusion events, or cascades, where the observations for a given cascade consist of only the timestamps of infection for…

Machine Learning · Statistics 2020-03-27 Ming Yu , Varun Gupta , Mladen Kolar

We consider a network consisting of $n$ nodes connected in a ring formation and a source that generates updates according to a renewal process and disseminates them to the ring network according to a Poisson process. The nodes in the…

Information Theory · Computer Science 2026-05-07 Arunabh Srivastava , Sennur Ulukus
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