Conformal deformation of equilibrium measures in normal random ensembles
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
20/10/2012
20/10/2012
2011
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| Resumo |
We investigate the eigenvalue statistics of ensembles of normal random matrices when their order N tends to infinite. In the model, the eigenvalues have uniform density within a region determined by a simple analytic polynomial curve. We study the conformal deformations of equilibrium measures of normal random ensembles to the real line and give sufficient conditions for it to weakly converge to a Wigner measure. FAPESP[07/04579-2] Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) CNPq[151976/2007-4] Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) CNPq[474647/2009-9] |
| Identificador |
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, v.44, n.7, 2011 1751-8113 http://producao.usp.br/handle/BDPI/29175 10.1088/1751-8113/44/7/075202 |
| Idioma(s) |
eng |
| Publicador |
IOP PUBLISHING LTD |
| Relação |
Journal of Physics A-mathematical and Theoretical |
| Direitos |
restrictedAccess Copyright IOP PUBLISHING LTD |
| Palavras-Chave | #RANDOM MATRICES #STATISTICS #EIGENVALUES #DENSITY #UNITARY #Physics, Multidisciplinary #Physics, Mathematical |
| Tipo |
article original article publishedVersion |
