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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Conformal deformation of equilibrium measures in normal random ensembles

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Veneziani, A. M. [1] ; Pereira, T. [1] ; Marchetti, D. H. U. [2]
Total Authors: 3
[1] Univ Fed ABC, Ctr Matemat Comp & Cognicao, Santo Andre - Brazil
[2] Univ Sao Paulo, Inst Fis, BR-01498 Sao Paulo - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Journal of Physics A-Mathematical and Theoretical; v. 44, n. 7 FEB 18 2011.
Web of Science Citations: 2

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. (AU)