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| Author(s): |
Paulo Henrique de Souza Lima
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | São Paulo. |
| Institution: | Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME/SBI) |
| Defense date: | 2007-02-22 |
| Examining board members: |
Luiz Renato Goncalves Fontes;
Fabio Prates Machado;
Marina Vachkovskaia
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| Advisor: | Luiz Renato Goncalves Fontes |
| Abstract | |
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. (AU) | |