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Related papers: Remarks on a rumor propagation model

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We report numerical evidence that an epidemic-like model, which can be interpreted as the propagation of a rumor, exhibits critical behavior at a finite randomness of the underlying small-world network. The transition occurs between a…

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

We empirically analyze two versions of the well-known "randomized rumor spreading" protocol to disseminate a piece of information in networks. In the classical model, in each round each informed node informs a random neighbor. In the…

Data Structures and Algorithms · Computer Science 2015-03-17 Benjamin Doerr , Tobias Friedrich , Marvin Künnemann , Thomas Sauerwald

The problem of flame propagation is studied as an example of unstable fronts that wrinkle on many scales. The analytic tool of pole expansion in the complex plane is employed to address the interaction of the unstable growth process with…

Pattern Formation and Solitons · Physics 2011-08-19 Oleg Kupervasser , Zeev Olami , Barak Galanti , Itamar Procaccia

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

In this paper we consider a model of spreading information in heterogeneous systems wherein we have two kinds of objects. Some of them are active and others are passive. Active objects can, if they possess information, share it with an…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-12-06 Jacek Cichoń , Zbigniew Goł\eobbiewski , Marcin Kardas , Marek Klonowski , Filip Zagórski

The current paper is a corrected version of our previous paper arXiv:adap-org/9608001. Similarly to previous version we investigate the problem of flame propagation. This problem is studied as an example of unstable fronts that wrinkle on…

Chaotic Dynamics · Physics 2013-04-23 Oleg Kupervasser , Zeev Olami

We study a general stochastic rumour model in which an ignorant individual has a certain probability of becoming a stifler immediately upon hearing the rumour. We refer to this special kind of stifler as an uninterested individual. Our…

Probability · Mathematics 2011-05-24 Elcio Lebensztayn , Fábio P. Machado , Pablo M. Rodríguez

The problem of flame propagation is studied as an example of unstable fronts that wrinkle on many scales is studied. The analytic tool of pole expansion in the complex plane is emloyed to address the interaction of the unstable growth…

adap-org · Physics 2011-08-19 Zeev Olami , Barak Galanti , Oleg Kupervasser , Itamar Procaccia

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

The societal impact of rumor spreading is becoming increasingly severe; yet, current research remains relatively one-sided, typically focusing on either rumor propagation or rumor control while neglecting the confrontational and dynamically…

Physics and Society · Physics 2026-05-07 Wenjie Zhang , Juan Wu , Minyu Feng , Qin Li , Matjaž Perc

In this work we propose a new extension for the Maki-Thompson rumor model which incorporates inter-group directed contacts. The model is defined on an homogeneously mixing population where the existence of two differentiated groups of…

Probability · Mathematics 2019-03-04 Carolina Grejo , Pablo M. Rodriguez

The question addressed here is the long time evolution of the solutions to a class of one-dimensional reaction-diffusion equations, in which the diffusion is given by an integral operator. The underlying motivation, discussed in the first…

Analysis of PDEs · Mathematics 2024-01-02 Jean-Michel Roquejoffre

With social media becoming ubiquitous, information consumption from this media has also increased. However, one of the serious problems that have emerged with this increase, is the propagation of rumors. Therefore, rumor identification is a…

Social and Information Networks · Computer Science 2020-07-23 Mingxuan Chen , Ning Wang , K. P. Subbalakshmi

We study the process of information dispersal in a network with communication errors and local error-correction. Specifically we consider a simple model where a single bit of information initially known to a single source is dispersed…

Social and Information Networks · Computer Science 2021-07-15 Omri Ben-Eliezer , Elchanan Mossel , Madhu Sudan

Rumors have ignited revolutions, undermined the trust in political parties, or threatened the stability of human societies. Such destructive potential has been significantly enhanced by the development of on-line social networks. Several…

Physics and Society · Physics 2023-03-22 Hugo P. Maia , Silvio C. Ferreira , Marcelo L. Martins

Previous research has shown how indirect reciprocity can promote cooperation through evolutionary game theoretic models. Most work in this field assumes a separation of time-scales: individuals' reputations equilibrate at a fast time scale…

Populations and Evolution · Quantitative Biology 2024-12-23 Bryce Morsky , Joshua B. Plotkin , Erol Akçay

The spread of ideas in online social networks is a crucial phenomenon to understand nowadays the proliferation of fake news and their impact in democracies. This makes necessary to use models that mimic the circulation of rumors. The law of…

Social and Information Networks · Computer Science 2019-10-18 Jesus San Martin , Fatima Drubi , Daniel Rodriguez-Perez

We introduce and analyze several variants of a system of differential equations which model the dynamics of social outbursts, such as riots. The systems involve the coupling of an explicit variable representing the intensity of rioting…

Analysis of PDEs · Mathematics 2015-07-08 Henri Berestycki , Jean-Pierre Nadal , Nancy Rodriguez

We study evolution of pulses propagating through focusing nonlinear media. Small disturbance on the smooth initial non-uniform background leads to formation of the region of strong nonlinear oscillations. We develop here an asymptotic…

Pattern Formation and Solitons · Physics 2022-03-14 A. M. Kamchatnov , D. V. Shaykin

When ignorance due to the lack of knowledge, modeled as epistemic uncertainty using Dempster-Shafer structures on closed intervals, is present in the model parameters, a new uncertainty propagation method is necessary to propagate both…

Methodology · Statistics 2011-07-11 Gabriel Terejanu , Puneet Singla , Tarunraj Singh , Peter D. Scott