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Bertuola AC, de Carvalho JX, Hussein MS, et al. Level density for deformations of the Gaussian orthogonal ensemble. Phys Rev E Stat Nonlin Soft Matter Phys. 2005;71(3):036117doi: 10.1103/PhysRevE.71.036117.
Bertuola, A. C., de Carvalho, J. X., Hussein, M. S., Pato, M. P., & Sargeant, A. J. (2005). Level density for deformations of the Gaussian orthogonal ensemble. Physical review. E, Statistical, nonlinear, and soft matter physics, 71(3), 036117. https://doi.org/10.1103/PhysRevE.71.036117
Bertuola, A C, et al. "Level density for deformations of the Gaussian orthogonal ensemble." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 71,3 (2005): 036117. doi: https://doi.org/10.1103/PhysRevE.71.036117
Bertuola AC, de Carvalho JX, Hussein MS, Pato MP, Sargeant AJ. Level density for deformations of the Gaussian orthogonal ensemble. Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Mar;71(3):036117. doi: 10.1103/PhysRevE.71.036117. Epub 2005 Mar 17. PMID: 15903503.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Mar;71(3):036117. doi: 10.1103/PhysRevE.71.036117. Epub 2005 Mar 17.

Level density for deformations of the Gaussian orthogonal ensemble.

Physical review. E, Statistical, nonlinear, and soft matter physics

A C Bertuola, J X de Carvalho, M S Hussein, M P Pato, A J Sargeant

Affiliations

  1. Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05315-970 São Paulo, São Paulo, Brazil.

PMID: 15903503 DOI: 10.1103/PhysRevE.71.036117

Abstract

Formulas are derived for the average level density of deformed, or transition, Gaussian orthogonal random matrix ensembles. After some general considerations about Gaussian ensembles, we derive formulas for the average level density for (i) the transition from the Gaussian orthogonal ensemble (GOE) to the Poisson ensemble and (ii) the transition from the GOE to m GOEs.

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