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- W2076794549 endingPage "075201" @default.
- W2076794549 startingPage "075201" @default.
- W2076794549 abstract "There are several methods to treat ensembles of random matrices in symmetric spaces, circular matrices, chiral matrices and others. Orthogonal polynomials and the supersymmetry method are particular powerful techniques. Here, we present a new approach to calculate averages over ratios of characteristic polynomials. At first sight paradoxically, one can coin our approach supersymmetry without supersymmetry because we use structures from supersymmetry without actually mapping onto superspaces. We address two kinds of integrals which cover a wide range of applications for random matrix ensembles. For probability densities factorizing in the eigenvalues we find determinantal structures in a unifying way. As a new application we derive an expression for the k-point correlation function of an arbitrary rotation invariant probability density over the Hermitian matrices in the presence of an external field." @default.
- W2076794549 created "2016-06-24" @default.
- W2076794549 creator A5026085690 @default.
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- W2076794549 date "2010-01-29" @default.
- W2076794549 modified "2023-10-03" @default.
- W2076794549 title "Derivation of determinantal structures for random matrix ensembles in a new way" @default.
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- W2076794549 doi "https://doi.org/10.1088/1751-8113/43/7/075201" @default.
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