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We compute correlation functions of inverse powers and ratios ofcharacteristic polynomials for random matrix models with complex eigenvalues.Compact expressions are given in terms of orthogonal polynomials in the complexplane as well as their Cauchy transforms, generalizing previous expressions forreal eigenvalues. We restrict ourselves to ratios of characteristic polynomialsover their complex conjugate.
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Akemann et al. (2004) studied this question.
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