An interacting particle system model for information diffusion on Zd

Author(s)

Karina Bindandi Emboaba de Oliveira

• Document type: Master's Dissertation
• Press: São Carlos.
• Institution: Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação
• Defense date: 16 jan. 2015

Examining board members

Pablo Martin Rodriguez; Christophe Frederic Gallesco; Alexsandro Giacomo Grimbert Gallo

• Advisor: Pablo Martin Rodriguez

Abstract

The purpose of this work is to combine percolation and contact process topics to formulate and achieve results in a particle system model that is inspired by the diffusion phenomenon of an innovation in a structured population. More precisely, we proposed a continuous time Markov chain defined in a population represented by the d-dimensional integer lattice. Each agent of population may be in any of the three states belonging to the set {0; 1; 2}. In this model, 0 stands for ignorant, 1 for aware and 2 for adopter. The arguments, that allow to obtain sufficient conditions under which the innovation either becomes extinct or survives with positive probability, will be studied. This involves the study of percolation models and contact process. (AU)

• FAPESP's process: 12/22185-0 - An interacting particle system model for information diffusion on ZD
• Grantee: Karina Bindandi Emboaba de Oliveira
• Support type: Scholarships in Brazil - Master