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We define a stochastic reaction-diffusion process that describes a consensus formation in a non-sedentary population. The process is a diffusive version of the Majority Vote model, where the state update follows two stages: in the first…

Statistical Mechanics · Physics 2022-03-14 J. R. S. Lima , F. W. S. Lima , T. F. A. Alves , G. A. Alves , A. Macedo-Filho

The inability to correctly resolve rumours circulating online can have harmful real-world consequences. We present a method for incorporating model and data uncertainty estimates into natural language processing models for automatic rumour…

Computation and Language · Computer Science 2020-05-15 Elena Kochkina , Maria Liakata

Opinion diffusion is a crucial phenomenon in social networks, often underlying the way in which a collective of agents develops a consensus on relevant decisions. The voter model is a well-known theoretical model to study opinion spreading…

Multiagent Systems · Computer Science 2024-03-14 Luca Becchetti , Vincenzo Bonifaci , Emilio Cruciani , Francesco Pasquale

We consider a rumor model in which the network is divided into three classes of agents: ignorant, spreader, and stifler. A spreader transmits the rumor to each of its ignorant neighbors at rate one, and at the same rate, it becomes a…

Physics and Society · Physics 2026-01-06 Ana C. Díaz Bacca , Pablo M. Rodriguez , Catalina M. Rúa-Alvarez

The aim of this paper is to study rumor processes in random environment. In a rumor process a signal starts from the stations of a fixed vertex (the root) and travels on a graph from vertex to vertex. We consider two rumor processes. In the…

Probability · Mathematics 2015-06-16 Daniela Bertacchi , Fabio Zucca

The spread of disinformation (maliciously spread false information) in online social networks has become an important problem in today's society. Disinformation's spread is facilitated by the fact that individuals often accept false…

Physics and Society · Physics 2025-04-15 Corbit R. Sampson , Juan G. Restrepo

Rumor and information spreading are natural processes that emerge from human-to-human interaction. Mathematically, this was explored in the popular Maki-Thompson model, where a phase transition was thought to be absent. Here, we show that a…

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

Trending topics are often the result of the spreading of information between users of social networks. These special topics can be regarded as rumors. The spreading of a rumor is often studied with the same techniques as in epidemics…

Physics and Society · Physics 2021-08-10 René Escalante , Marco Odehnal

Recently, information transmission models motivated by the classical epidemic propagation, have been applied to a wide-range of social systems, generally assume that information mainly transmits among individuals via peer-to-peer…

Physics and Society · Physics 2015-12-09 Chuang Liu , Xiu-Xiu Zhan , Zi-Ke Zhang , Gui-Quan Sun , Pak Ming Hui

Since the information available is fundamental for our perceptions and opinions, we are interested in understanding the conditions allowing for a good information to be disseminated. This paper explores opinion dynamics by means of…

Social and Information Networks · Computer Science 2015-03-17 Walter Quattrociocchi , Rosaria Conte , Elena Lodi

This paper proposes a dynamic epidemic model for successive opinion diffusion in social networks, extending the SHIMR model. It incorporates dynamic decision-making influenced by social distances and captures accumulative opinion diffusion…

Social and Information Networks · Computer Science 2025-12-01 Bin Han , Fabienne Renckens , C. Clark Cao , Hans D. Schotten

For the study of information propagation, one fundamental problem is uncovering universal laws governing the dynamics of information propagation. This problem, from the microscopic perspective, is formulated as estimating the propagation…

Social and Information Networks · Computer Science 2014-06-19 Junming Huang , Chao Li , Wen-Qiang Wang , Hua-Wei Shen , Guojie Li , Xue-Qi Cheng

Randomized gossip is one of the most popular way of disseminating information in large scale networks. This method is appreciated for its simplicity, robustness, and efficiency. In the "push" protocol, every informed node selects, at every…

We study the Consensus problem among $n$ agents, defined as follows. Initially, each agent holds one of two possible opinions. The goal is to reach a consensus configuration in which every agent shares the same opinion. To this end, agents…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-18 Petra Berenbrink , Amin Coja-Oghlan , Oliver Gebhard , Max Hahn-Klimroth , Dominik Kaaser , Malin Rau

We discuss how spreading processes on temporal networks are impacted by the shape of their inter-event time distributions. Through simple mathematical arguments and toy examples, we find that the key factor is the ordering in which events…

Physics and Society · Physics 2015-06-15 Renaud Lambiotte , Lionel Tabourier , Jean-Charles Delvenne

We study a rumour model from a percolation theory and branching process point of view. The existence of a giant component is related to the event where the rumour, which started from the root of a tree, spreads out through an infinite…

Probability · Mathematics 2016-11-11 Valdivino Vargas Junior , Fábio Prates Machado , Krishnamurthi Ravishankar

Diffusion of information and viral content, social contagion and influence are still topics of broad evaluation. We have studied the information epidemic in a social networking platform in order compare different campaign setups. The goal…

Social and Information Networks · Computer Science 2013-02-14 Andrzej Jarynowski , Jaroslaw Jankowski , Anita Zbieg

The diffusive epidemic process is a paradigmatic example of an absorbing state phase transition in which healthy and infected individuals spread with different diffusion constants. Using stochastic activity spreading simulations in…

Statistical Mechanics · Physics 2022-03-02 Borislav Polovnikov , Patrick Wilke , Erwin Frey

Social dynamics is concerned primarily with interactions among individuals and the resulting group behaviors, modeling the temporal evolution of social systems via the interactions of individuals within these systems. In particular, the…

Machine Learning · Statistics 2016-11-08 Zhen Xu , Wen Dong , Sargur Srihari
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