Continuidade da probabilidade de percolação em Z^2 x {0,1}

The percolation theory began with Broadbent and Hammersley [1].One of the formulation motivations of such theory was trying to builda probabilistic model that describes the propagation of a fluid in a porousmedium. These models are built on graphs, independently assigning toeach bond (or site) the s...

ver descrição completa

Detalhes bibliográficos
Autor: Edson Francisco Ferreira
Formato: tesis de maestría
Estado:Versión publicada
Fecha de publicación:2016
País:Brasil
Recursos:Universidade Federal de Minas Gerais (UFMG)
Repositorio:Repositório Institucional da UFMG
Idioma:portugués
OAI Identifier:oai:repositorio.ufmg.br:1843/BUBD-A9ZGK4
Acesso em linha:http://hdl.handle.net/1843/BUBD-A9ZGK4
Access Level:acceso abierto
Palavra-chave:Percolação em bloco
Continuidade
Percolação crítica
Percolação de bootstrap
Estatistica
Percolação (Fisica estatistica)
Descrição
Resumo:The percolation theory began with Broadbent and Hammersley [1].One of the formulation motivations of such theory was trying to builda probabilistic model that describes the propagation of a fluid in a porousmedium. These models are built on graphs, independently assigning toeach bond (or site) the state open or closed with probability p and 1 p,respectively. The main intention of this master thesis is to study the percolation model in the graph Z2 f0, 1g introduced by Damron et al. in Absence of Site Percolation at criticality in Z2 f0, 1g (see [2]) . Our purpose in this work was to formulate the percolation model proposed in the above article, discuss the issues involved and expose the results of it.Key-words: Critical percolation, slab percolation, continuous.