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Fast consensus and metastability in a highly polarized social network

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Author(s):
Galves, Antonio ; Laxa, Kadmo
Total Authors: 2
Document type: Journal article
Source: Stochastic Processes and their Applications; v. 177, p. 24-pg., 2024-08-23.
Abstract

A polarized social network is modeled as a system of interacting marked point processes with memory of variable length. Each point process indicates the successive times in which a social actor expresses a "favorable"or "contrary"opinion. After expressing an opinion, the social pressure on the actor is reset to 0, waiting for the group's reaction. The orientation and the rate at which an actor expresses an opinion is influenced by the social pressure exerted on it, modulated by a polarization coefficient. We prove that the network reaches an instantaneous but metastable consensus, when the polarization coefficient diverges. (AU)

FAPESP's process: 13/07699-0 - Research, Innovation and Dissemination Center for Neuromathematics - NeuroMat
Grantee:Oswaldo Baffa Filho
Support Opportunities: Research Grants - Research, Innovation and Dissemination Centers - RIDC
FAPESP's process: 22/07386-0 - Modeling neuronal networks as systems of interacting point processes with memory of variable length
Grantee:Kádmo de Souza Laxa
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 23/12335-9 - Modeling neuronal networks as systems of interacting point processes with memory of variable length: models comparison and mean-field limits
Grantee:Kádmo de Souza Laxa
Support Opportunities: Scholarships abroad - Research Internship - Post-doctor