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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

The diffusion of opposite opinions in a randomly biased environment

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Author(s):
Gonzalez-Navarrete, Manuel [1] ; Lambert, Rodrigo [2, 3]
Total Authors: 2
Affiliation:
[1] Univ Bio Bio, Dept Estadist, Concepcion - Chile
[2] Univ Fed Uberlandia, Fac Matemat, Uberlandia, MG - Brazil
[3] Univ Fed Bahia, Dept Matemat, Salvador, BA - Brazil
Total Affiliations: 3
Document type: Journal article
Source: Journal of Mathematical Physics; v. 60, n. 11 NOV 2019.
Web of Science Citations: 0
Abstract

We propose a model for diffusion of two opposite opinions. Here, the decision to be taken by each individual is a random variable, which depends on the tendency of the population as well as on its own trend characteristic. The influence of the population trend can be positive, negative, or nonexistent in a random form. We prove a phase transition in the behavior of the proportion of each opinion. Specifically, the mean square proportions are linear functions of time in the diffusive case but are given by a power law in the superdiffusive regime. Published under license by AIP Publishing. (AU)

FAPESP's process: 14/19805-1 - Statistics of extreme events and dynamics of recurrence
Grantee:Miguel Natalio Abadi
Support type: Regular Research Grants