Busca avançada
Ano de início
Entree


From subcritical behavior to a correlation-induced transition in rumor models

Texto completo
Autor(es):
de Arruda, Guilherme Ferraz ; Jeub, Lucas G. S. ; Mata, Angelica S. ; Rodrigues, Francisco A. ; Moreno, Yamir
Número total de Autores: 5
Tipo de documento: Artigo Científico
Fonte: NATURE COMMUNICATIONS; v. 13, n. 1, p. 10-pg., 2022-06-01.
Resumo

Rumors and information spreading emerge naturally from human-to-human interactions and have a growing impact on our everyday life due to increasing and faster access to information, whether trustworthy or not. A popular mathematical model for spreading rumors, data, or news is the Maki-Thompson model. Mean-field approximations suggested that this model does not have a phase transition, with rumors always reaching a fraction of the population. Conversely, here, we show that a continuous phase transition is present in this model. Moreover, we explore a modified version of the Maki-Thompson model that includes a forgetting mechanism, changing the Markov chain's nature and allowing us to use a plethora of analytic and numeric methods. Particularly, we characterize the subcritical behavior, where the lifespan of a rumor increases as the spreading rate drops, following a power-law relationship. Our findings show that the dynamic behavior of rumor models is much richer than shown in previous investigations. Rumors and information spreading emerge naturally from human-to-human interaction and have a growing impact on people's lives due to increasing and faster access to information, whether trustworthy or not. The authors study the Maki-Thompson rumor model and its variation, revealing a phase transition and providing insights into the nature of this transition. (AU)

Processo FAPESP: 19/23293-0 - Predição e inferência em sistemas complexos
Beneficiário:Francisco Aparecido Rodrigues
Modalidade de apoio: Auxílio à Pesquisa - Regular
Processo FAPESP: 13/07375-0 - CeMEAI - Centro de Ciências Matemáticas Aplicadas à Indústria
Beneficiário:Francisco Louzada Neto
Modalidade de apoio: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs