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Doctoral Thesis
DOI
10.11606/T.43.2008.tde-28082008-143523
Document
Author
Full name
Edelver Carnovali Junior
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2008
Supervisor
Committee
Pato, Mauricio Porto (President)
Aguiar, Marcus Aloizio Martinez de
Furuya, Kyoko
Oliveira, Mario Jose de
Sartorelli, Jose Carlos
Title in Portuguese
Sobre a termodinâmica dos espectros
Keywords in Portuguese
Estatística de níveis
Matrizes aleátorias
Teoria das matrizes aleatórias
Termodinâmica de níveis
Abstract in Portuguese
Três ensembles, respectivamente relacionados com as distribuições Gaussiana, Lognormal e de Levy, são abordados neste trabalho primordialmente do ponto de vista da termodinâmica de seus espectros. Novas expressões para as grandezas termodinâmicas sao encontradas para os ensembles de Stieltjes e de Bertuola-Pato, e a conexão destes com os ensembles Gaussianos e estabelecida. Esta tese também se compromete com a continuação do desenvolvimento e aprimorarão do ensemble generalizado de Bertuola-Pato, estendendo alguns resultados para os ensembles simplifico e unitário generalizados, alem do ortogonal generalizado já introduzido anteriormente por A. C. Bertuola e M. P. Pato.
Title in English
On the spectrum thermodynamic
Keywords in English
Level statistics
Level Thermodynamic
Random matrices
Random Matrix Theory
Abstract in English
Three ensembles, related to the Gaussian, the Lognormal and the L´evy distributions respectively, have been studied in this work and were investigated most of all in what concerns their spectral thermodynamics. New expressions for the thermodynamics quantities were found for the Stieltjes and the Bertuola-Pato ensembles, and the connection with the gaussian ensembles is established. This work concerned with the development continuity and with the improvement of Bertuola-Pato generalized ensemble, extending some of the results to the simplectic and unitary generalized ensembles, besides the orthogonal generalized ensemble introduced before by A. C. Bertuola and M. P. Pato.
 
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edelver.pdf (498.84 Kbytes)
Publishing Date
2008-09-16
 
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