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Related papers: A spatial stochastic model for rumor transmission

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We consider information dissemination over a network of gossiping agents (nodes). In this model, a source keeps the most up-to-date information about a time-varying binary state of the world, and $n$ receiver nodes want to follow the…

Information Theory · Computer Science 2024-10-28 Melih Bastopcu , S. Rasoul Etesami , Tamer Başar

We show that a simple model for the propagation of a rumor on a small-world network exhibits critical behavior at a finite randomness of the underlying graph. The transition occurs between a regime where the rumor "dies" in a small…

Statistical Mechanics · Physics 2007-05-23 Damian H. Zanette

We model messaging activities as a hierarchical doubly stochastic point process with three main levels, and develop an iterative algorithm for inferring actors' relative latent positions from a stream of messaging activity data. Each of the…

Machine Learning · Statistics 2013-04-26 Nam H. Lee , Jordan Yoder , Minh Tang , Carey E Priebe

This paper focuses on studying and understanding of stochastic dynamics in population composition when the population is subject to rumor spreading. We undertake the study by first developing an individual…

Physics and Society · Physics 2020-03-03 Lan Di , Yudi Gu , Guoqi Qian , George Xianzhi Yuan

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

We consider a simple stochastic $N$-particle system, already studied by the same authors in \cite{CPS21}, representing different populations of agents. Each agent has a label describing his state of health. We show rigorously that, in the…

Probability · Mathematics 2022-06-22 Alessandro Ciallella , Mario Pulvirenti , Sergio Simonella

Recent research [1] has suggested that coreness, and not degree, constitutes a better topological descriptor to identifying influential spreaders in complex networks. This hypothesis has been verified in the context of disease spreading.…

Physics and Society · Physics 2015-06-03 Javier Borge-Holthoefer , Yamir Moreno

We study an opinion dynamics model in which $n$ agents hold directed trust or distrust opinions about one another, represented as a matrix $M \in \{0,1\}^{n \times n}$ in which 1 represents trust and 0 represents distrust. A gossip event…

Combinatorics · Mathematics 2026-05-27 Nicholas Boichuk

Spreading truths is recognized as a feasible strategy for inhibiting rumors. This paper is devoted to assessing the effectiveness of the truth-spreading strategy. An individual-level rumor-truth spreading model (the generic URTU model) is…

Social and Information Networks · Computer Science 2017-05-19 Lu-Xing Yang , Pengdeng Li , Xiaofan Yang , Yingbo Wu , Yuan Yan Tang

We consider a coupled Polya's urn scheme for social dynamics on networks. Agents hold continuum-valued opinions on a two-state issue and randomly converse with their neighbors on a graph, agreeing on one of the two states. The probability…

Probability · Mathematics 2023-07-04 Andrew Melchionna

We examine how misinformation spreads in social networks composed of individuals with long-term offline relationships. Especially, we focus on why misinformation persists and diffuses despite being recognized by most as false. In our…

General Economics · Economics 2025-10-13 Shuige Liu

The paper considers gossip distributed estimation of a (static) distributed random field (a.k.a., large scale unknown parameter vector) observed by sparsely interconnected sensors, each of which only observes a small fraction of the field.…

Information Theory · Computer Science 2015-05-20 Soummya Kar , Jose' M. F. Moura

We study rumor spreading in dynamic random graphs. Starting with a single informed vertex, the information flows until it reaches all the vertices of the graph (completion), according to the following process. At each step $k$, the…

Data Structures and Algorithms · Computer Science 2025-06-06 Vicenzo Bonasorte

Distributed computing models typically assume reliable communication between processors. While such assumptions often hold for engineered networks, e.g., due to underlying error correction protocols, their relevance to biological systems,…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-29 Ofer Feinerman , Bernhard Haeupler , Amos Korman

Recent years have seen various rumor diffusion models being assumed in detection of rumor source research of the online social network. Diffusion model is arguably considered as a very important and challengeable factor for source detection…

Social and Information Networks · Computer Science 2026-02-24 Rong Jin , Weili Wu

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

The spread of rumors along with breaking events seriously hinders the truth in the era of social media. Previous studies reveal that due to the lack of annotated resources, rumors presented in minority languages are hard to be detected.…

Computation and Language · Computer Science 2023-05-29 Hongzhan Lin , Pengyao Yi , Jing Ma , Haiyun Jiang , Ziyang Luo , Shuming Shi , Ruifang Liu

In this paper, we study a distributed parameter estimation problem with an asynchronous communication protocol over multi-agent systems. Different from traditional time-driven communication schemes, in this work, data can be transmitted…

Systems and Control · Computer Science 2019-03-04 Xingkang He , Qian Liu , Junfeng Wu , Karl Henrik Johansson

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

A multi-agent model for individuals endowed with strategies and subject to diffusive effects is proposed. The microscopic state of each agent is described by a spatial position and a probability measure, interpreted as a mixed strategy,…

Analysis of PDEs · Mathematics 2026-03-24 Alessandro Baldi , Marco Morandotti
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