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Doctoral Thesis
DOI
10.11606/T.45.2006.tde-09062013-152859
Document
Author
Full name
Geraldine Góes Bosco
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2006
Supervisor
Committee
Machado, Fabio Prates (President)
Fontes, Luiz Renato Goncalves
Marchetti, Domingos Humberto Urbano
Mitrowsky, Rafael Andres Rosales
Vasconcellos, Klaus Leite Pinto
Title in Portuguese
Taxas exponenciais de convergência na lei multidimensional dos grandes números: uma abordagem construtiva
Keywords in Portuguese
acoplamento
processo de estacionamento
simulação perfeita
Abstract in Portuguese
Neste trabalho apresentamos condições suficientes para a obtenção de taxas exponenciais de convergência na lei multidimensional dos grandes números para campos aleatórios definidos em R^Z_d. Dentre possíveis aplicações do resultado apresentamos medidas não-gibbsianas e não-FKG (limites de saturaçãoo de processos de estacionamento) e medidas estacionárias originárias de sistemas de partículas (rede com perdas, incluindo o caso onde há interação de longo alcance com cauda pesada).
Title in English
Exponential Rates of Convergence in the Ergodic Theorem: a constructive approach.
Keywords in English
coupling
parking processes
perfect simulation
Abstract in English
We describe sufficient conditions for the occurrence of exponential rates of convergence in the multidimensional law of large numbers for random fields in RZd . Non-gibbsian and non-FKG measures from statistical mechanics (jamming limits of RSA models) and IPS (stationary measures of loss networks, including heavy-tail long-range interaction) are indicated as examples where the result applies.
 
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geraldine_bosco.pdf (491.73 Kbytes)
Publishing Date
2013-06-10
 
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