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Doctoral Thesis
DOI
10.11606/T.76.2009.tde-24032010-154848
Document
Author
Full name
Anderson Augusto Ferreira
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2009
Supervisor
Committee
Fontanari, Jose Fernando (President)
Bernardes, Americo Tristao
Mizrahi, Salomon Sylvain
Moussa, Miled Hassan Youssef
Oliveira, Mario Jose de
Title in Portuguese
Ensaios analíticos e numéricos de processos estocásticos unidimensionais
Keywords in Portuguese
Bethe Ansatz
Campo Médio em Cluster
Modelos de Tráfego
Modelos de Vértices
Processos de Contato
Abstract in Portuguese
Nesta presente tese, abordaremos três problemas sobre processos estocásticos unidimensionais governados pela equação mestra. Através do Ansatz do Produto Matricial (MPA) determinaremos as condições suficientes para garantir a integrabilidade de um novo processo de difusão num meio com impurezas. Investigando o espectro de tal modelo, computaremos o expoente crítico z que determina como os observáveis atingem o estado estacionário. Em seguida, estudaremos o clássico modelo de 6-vértices bidimensional definido na matriz de transferência diagonal-diagonal, como um modelo de trafego unidimensional com dinâmica síncrona e assíncrona. E para concluir nosso trabalho, investigaremos alguns modelos de processos de contato com difusão, utilizando a teoria de Campo Médio em Cluster.
Title in English
Analytic and numeric essays on one-dimensional stochastic processes
Keywords in English
Bethe Ansatz
Cluster Mean- Field
Contact Process
Traffic Models
Vertex Models
Abstract in English
In this thesis, we discuss three problems on dimensional stochastic processes governed by master equation. By Product Matrix Ansatz (MPA) we determine the conditions sufficient to ensure integrability of a new process of diffusion in a medium with impurities. Investigating the spectrum of this model, we compute the critical exponent z that determines how the observable flow to stationary state. In the folowing, we study the classical 6-vertex model defined in two-dimensional diagonal-diagonal matrix transfer as a unidimensional model of traffic with synchronous and asynchronous dinamics. And to finish our work, we study models of diffusion processes of contact, using the theory of Cluster Mean-Field
 
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Publishing Date
2010-03-24
 
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