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Master's Dissertation
DOI
https://doi.org/10.11606/D.45.2001.tde-20210729-123543
Document
Author
Full name
Thomas Logan Ritchie
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2001
Supervisor
Title in Portuguese
Novas quotas inferiores para a probabilidade crítica do processo de percolação orientada por meio de cadeias de Markov numa faixa de múltiplas vias
Keywords in Portuguese
Cadeias De Markov
Processos Estocásticos
Abstract in Portuguese
Apresentamos uma seqüência decrescente de passeios aleatórios em Z, que domina a margem direita do processo de percolação orientada. Através do conceito de cadeia de Markov numa faixa, descrevemos um algoritmo que gera uma seqüência crescente de quotas inferiores que converge para a probabilidade crítica do processo de percolação orientada em duas dimensões. Calculando numericamente os dez primeiros termos dessa seqüência, obtivemos uma nova quota inferior para a probabilidade crítica deste processo: 'p.IND. c' > OU = 0,63328
Title in English
not available
Abstract in English
We present a coupled decreasing sequence of random walks on Z that dominates the edge process of oreinted-bond percolation in two dimensions. Using the concept of Markov chain in a strip, we construct an algoritm that generates an increasing sequence of lower bounds that converges to the critical probability of oriented-bond percolation. Numerical calculations of the first ten lower bounds thereby generated lead to an improved, ie higher, lower bound to this critical probability, viz. 'p.IND. c' > OR = 0.63328
 
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Publishing Date
2021-07-29
 
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