Ratios of characteristic polynomials in complex matrix models

Akemann G, Pottier A (2004)
J.Phys. A 37(37): L453-L459.

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Zeitschriftenaufsatz | Veröffentlicht | Englisch
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Abstract / Bemerkung
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.
Erscheinungsjahr
Zeitschriftentitel
J.Phys. A
Band
37
Zeitschriftennummer
37
Seite
L453-L459
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Akemann G, Pottier A. Ratios of characteristic polynomials in complex matrix models. J.Phys. A. 2004;37(37):L453-L459.
Akemann, G., & Pottier, A. (2004). Ratios of characteristic polynomials in complex matrix models. J.Phys. A, 37(37), L453-L459. doi:10.1088/0305-4470/37/37/L01
Akemann, G., and Pottier, A. (2004). Ratios of characteristic polynomials in complex matrix models. J.Phys. A 37, L453-L459.
Akemann, G., & Pottier, A., 2004. Ratios of characteristic polynomials in complex matrix models. J.Phys. A, 37(37), p L453-L459.
G. Akemann and A. Pottier, “Ratios of characteristic polynomials in complex matrix models”, J.Phys. A, vol. 37, 2004, pp. L453-L459.
Akemann, G., Pottier, A.: Ratios of characteristic polynomials in complex matrix models. J.Phys. A. 37, L453-L459 (2004).
Akemann, Gernot, and Pottier, A. “Ratios of characteristic polynomials in complex matrix models”. J.Phys. A 37.37 (2004): L453-L459.

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arXiv: math-ph/0404068

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