Oliveira, Roberto Teodoro Gurgel deSilva, Antonio Djackson Alves da2018-04-062018-04-062017-07-21SILVA, Antonio Djackson Alves da. Nova prova de resultados clássicos de percolação. 2017. 57f. Dissertação (Mestrado em Matemática Aplicada e Estatística) - Centro de Ciências Exatas e da Terra, Universidade Federal do Rio Grande do Norte, Natal, 2017.https://repositorio.ufrn.br/jspui/handle/123456789/24995A percolation process models the distribution and transport of fluids in porous media. The variation of a model parameter reveals the existence of, generally, two phases, one called subcritical and the other called supercritical. These phases bear distinct global characteristics and the transition between phases takes place at a critical value for the model parameter. The present work aims at presenting new proofs for some classical results of Bond Bernoulli Percolation, namely: exponential decay of the radius of the cluster at the origin in subcritical phase and a lower bound on probability of percolation.Acesso AbertoModelo de percolaçãoParâmetro críticoTransição de fasemasterThesisCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA APLICADA E ESTATÍSTICA