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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

We propose a mathematical model to measure how multiple repetitions may influence in the ultimate proportion of the population never hearing a rumor during a given outbreak. The model is a multi-dimensional continuous-time Markov chain that…

Probability · Mathematics 2021-05-11 Alejandra Rada , Cristian F. Coletti , Elcio Lebensztayn , Pablo M. Rodriguez

Rumor models consider that information transmission occurs with the same probability between each pair of nodes. However, this assumption is not observed in social networks, which contain influential spreaders. To overcome this limitation,…

Physics and Society · Physics 2017-03-08 Didier A. Vega-Oliveros , Luciano da F. Costa , Francisco A. Rodrigues

As breaking news unfolds people increasingly rely on social media to stay abreast of the latest updates. The use of social media in such situations comes with the caveat that new information being released piecemeal may encourage rumours,…

Social and Information Networks · Computer Science 2016-04-27 Arkaitz Zubiaga , Maria Liakata , Rob Procter , Geraldine Wong Sak Hoi , Peter Tolmie

We study a stochastic model for the diffusion of competing opinions in a population composed of three types of agents: trend-followers, opposers, and indifferent individuals. The decision dynamics are driven by reinforcement mechanisms,…

Probability · Mathematics 2025-06-24 Manuel González-Navarrete

We study the diffusion of a true and a false message (the rumor) in a social network. Upon hearing a message, individuals may believe it, disbelieve it, or debunk it through costly verification. Whenever the truth survives in steady state,…

Theoretical Economics · Economics 2022-05-12 Luca P. Merlino , Paolo Pin , Nicole Tabasso

We study the dynamics of an epidemic-like model for the spread of a rumor on a small-world network. It has been shown that this model exhibits a transition between regimes of localization and propagation at a finite value of the network…

Statistical Mechanics · Physics 2009-11-07 Damian H. Zanette

We develop a simple and generic method to analyze randomized rumor spreading processes in fully connected networks. In contrast to all previous works, which heavily exploit the precise definition of the process under investigation, we only…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-21 Benjamin Doerr , Anatolii Kostrygin

This paper presents a stochastic delayed differential model for rumor propagation during infodemic that incorporates human behavioral response, public skepticism and fact-checking mechanisms. A discrete time delay is introduced to model…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Lamia Alyami , Anis Hamadouche , Amir Hussain

Rumor spreading is a ubiquitous phenomenon in social and technological networks. Traditional models consider that the rumor is propagated by pairwise interactions between spreaders and ignorants. Spreaders can become stiflers only after…

Rumour spreading is a protocol for modelling the spread of information through a network via user-to-user interaction. The Spatial Preferred Attachment (SPA) model is a random graph model for complex networks: vertices are placed in a…

Social and Information Networks · Computer Science 2016-08-08 Jeannette Janssen , Abbas Mehrabian

The propagation of a rumor (unverified information) on a social network is subject to several factors mainly related to the content of this information and especially to the behaviors (profiles) of the actors on this network that…

Social and Information Networks · Computer Science 2020-04-07 Chahinez Ounoughi

Despite the increasing use of social media platforms for information and news gathering, its unmoderated nature often leads to the emergence and spread of rumours, i.e. pieces of information that are unverified at the time of posting. At…

Computation and Language · Computer Science 2018-04-04 Arkaitz Zubiaga , Ahmet Aker , Kalina Bontcheva , Maria Liakata , Rob Procter

We propose a model of rumor spreading in which susceptible, but skeptically oriented individuals may oppose the rumor. Resistance may be implemented either by skeptical activists trying to convince spreaders to stop their activity, becoming…

Physics and Society · Physics 2020-06-24 Marco Antonio Amaral , Jeferson J. Arenzon

We study a simple model of information propagation in social networks, where two quantities are introduced: the spread factor, which measures the average maximal fraction of neighbors of a given node that interchange information among each…

Physics and Society · Physics 2011-03-22 Pedro G. Lind , Luciano R. da Silva , José S. Andrade , Hans J. Herrmann

We study a rumor spreading model where individuals are connected via a network structure. Initially, only a small subset of the individuals are spreading a rumor. Each individual who is connected to a spreader, starts spreading the rumor…

Social and Information Networks · Computer Science 2023-05-16 Ahad N. Zehmakan , Charlotte Out , Sajjad Hesamipour Khelejan

Many of today's most pressing issues require a more robust understanding of how information spreads in populations. Current models of information spread can be thought of as falling into one of two varieties: epidemiologically-inspired…

Physics and Society · Physics 2025-03-03 Sagar Kumar , Moritz Laber , Maimuna S. Majumder , Brooke Foucault Welles

In this paper, we present an experimental analysis of the asynchronous push & pull rumour spreading protocol. This protocol is, to date, the best-performing rumour spreading protocol for simple, scalable, and robust information…

Social and Information Networks · Computer Science 2015-01-16 Christos Patsonakis , Mema Roussopoulos

The burst in the use of online social networks over the last decade has provided evidence that current rumor spreading models miss some fundamental ingredients in order to reproduce how information is disseminated. In particular, recent…

Physics and Society · Physics 2013-04-02 Javier Borge-Holthoefer , Sandro Meloni , Bruno Gonçalves , Yamir Moreno

Stochastic processes can model many emerging phenomena on networks, like the spread of computer viruses, rumors, or infectious diseases. Understanding the dynamics of such stochastic spreading processes is therefore of fundamental interest.…

Social and Information Networks · Computer Science 2019-01-07 Gerrit Großmann , Verena Wolf