Banca de DEFESA: ANTONIO DJACKSON ALVES DA SILVA

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
DISCENTE : ANTONIO DJACKSON ALVES DA SILVA
DATA : 21/07/2017
HORA: 13:30
LOCAL: Auditório do CCET
TÍTULO:

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PALAVRAS-CHAVES:

Percolation model, critical parameter, phase transitions, exponential decay.

PÁGINAS: 53
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Matemática
SUBÁREA: Matemática Aplicada
RESUMO:

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. The considerations and proofs we follow are due to Hugo Duminil-Copin and Vincent Tassion in their paper “A New Proof of the Sharpness of the Phase Transition for Bernoulli Percolation and the Ising Model” published on the Journal of Mathematical Physics in 2016.

MEMBROS DA BANCA:
Interno - 2354162 - BRUNO MONTE DE CASTRO
Externo ao Programa - 1552847 - DEBORA BORGES FERREIRA
Externo à Instituição - GISLENE MICARLA BORGES DE LIMA - UFPE
Presidente - 2193700 - ROBERTO TEODORO GURGEL DE OLIVEIRA