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Master's Dissertation
DOI
https://doi.org/10.11606/D.45.2007.tde-18072012-191725
Document
Author
Full name
Paulo Henrique de Souza Lima
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2007
Supervisor
Committee
Fontes, Luiz Renato Goncalves (President)
Machado, Fabio Prates
Vachkovskaia, Marina
Title in Portuguese
Convergência de modelos de armadilhas no hipercubo
Keywords in Portuguese
envelhecimento
k-processo
limite de escala
modelo de armadilhas de Bouchaud
Abstract in Portuguese
Derivamos resultados para o Modelo de Armadilhas de Bouchaud no hipercubo a baixa temperatura. Este é um passeio aleatório simples simétrico em tempo contínuo que espera um tempo exponencial com taxa aleatória com distribuição no domínio de atração de uma lei estável de expoente menor do que 1. Os resultados recaem sobre o processo limite chamado K-processo, basicamente, um processo markoviano em um espaço de estados enumerável que entra em qualquer conjunto finito com distribuição uniforme.
Title in English
Convergence of trap models in the hypercube
Keywords in English
aging
Bouchaud trap model
k-process
scaling limit
Abstract in English
We derive results for the Bouchaud trap model in the hypercube at low temperature. This is a continuous-time simple symmetric random walk on hypercube that waits a exponetial time with a random rate with distribution in the domain of attraction of a stable law of exponent lower than 1. The results arise to a scaling limit called k-process, roughly, a Markov process in a denumerable state space which enters finite sets with uniform distribution.
 
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Publishing Date
2014-09-30
 
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