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Article Dans Une Revue Journal of Physics A: Mathematical and General (1975 - 2006) Année : 2003

The distributions of the determinant of fixed-trace ensembles of real-symmetric and of Hermitian random matrices

Résumé

Probability densities of the determinant are obtained for fixed-trace ensembles of N x N Hermitian and real-symmetric matrices from the exact determinant densities of the Gaussian orthogonal ensemble (GOE) and of the Gaussian unitary ensemble (GUE), respectively.

Dates et versions

hal-01127738 , version 1 (08-03-2015)

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Citer

Gérard Le Caër, Renaud Delannay. The distributions of the determinant of fixed-trace ensembles of real-symmetric and of Hermitian random matrices. Journal of Physics A: Mathematical and General (1975 - 2006), 2003, 36 (38), pp.9885-9898. ⟨10.1088/0305-4470/36/38/306⟩. ⟨hal-01127738⟩
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