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Master's Dissertation
DOI
https://doi.org/10.11606/D.45.1992.tde-20210729-002819
Document
Author
Full name
Cláudia Monteiro Peixoto
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 1992
Supervisor
Title in Portuguese
Aproximacao do equilibrio e tempos exponenciais para o passeio aleatorio no hipercubo
Keywords in Portuguese
Processos De Markov
Abstract in Portuguese
Nosso objeto de estudo e o passeio aleatorio simples no hipercubo de dimensao n. Todos os resultados obtidos referem-se a tempos de parada quando n diverge. O primeiro teorema trata do tempo que dois passeios acoplados levam para se encontrar. Como corolario obtemos um majorante para a velocidade de convergencia ao equilibrio. Os outros tres teoremas tratam respectivamente do instante do primeiro retorno a um ponto ja visitado, do instante de retorno a um conjunto fixado e do instante de encontro com um conjunto aleatorio. Nestes casos demonstramos que esses tempos aleatorios, convenientemente normalizados, convergem em lei a uma exponencial de parametro 1
Title in English
not available
Abstract in English
not available
 
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Publishing Date
2021-07-29
 
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