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Previous issue date: 2017-07-21 / Um processo de percola??o modela o fen?meno da distribui??o ou transporte de fluidos em
um meio poroso. A varia??o de um par?metro do modelo revela a exist?ncia de, geralmente,
duas fases, uma fase dita subcr?tica e outra fase dita supercr?tica. Essas fases possuem
caracter?sticas globais distintas e a transi??o de uma dessas fases ? outra se d? em um
valor cr?tico do par?metro do modelo. O presente trabalho tem como objetivo apresentar
novas demonstra??es para resultados cl?ssicos no modelo de percola??o Bernoulli de elos,
a saber: o decaimento exponencial do raio de um aglomerado aberto na fase subcr?tica e
a cota inferior da probabilidade de percola??o. / A 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.
| Identifer | oai:union.ndltd.org:IBICT/oai:repositorio.ufrn.br:123456789/24995 |
| Date | 21 July 2017 |
| Creators | Silva, Antonio Djackson Alves da |
| Contributors | 05539963474, Gois, Bruno dos Santos, 02875855573, Ferreira, D?bora Borges, 71101497149, Lima, Gislene Micarla Borges de, 05191228448, Pereira, Andr? Gustavo Campos, Oliveira, Roberto Teodoro Gurgel de |
| Publisher | PROGRAMA DE P?S-GRADUA??O EM MATEM?TICA APLICADA E ESTAT?STICA, UFRN, Brasil |
| Source Sets | IBICT Brazilian ETDs |
| Language | Portuguese |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/masterThesis |
| Source | reponame:Repositório Institucional da UFRN, instname:Universidade Federal do Rio Grande do Norte, instacron:UFRN |
| Rights | info:eu-repo/semantics/openAccess |
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