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Correlation of characteristic polynomials in random matrix ensembles

Mathematical Physics & Probability

Speaker: Friedrich Goetze, Bielefeld University
Location: 2112 MSB
Start time: Wed, Apr 15 2009, 4:10PM

The local spectral distribution of eigenvalues of Wigner random matrices in the bulk of the spectrum is conjectured to be universal after suitable scaling with a distribution determined by Gaussian Wigner matrices. Here we discuss results concerning the correlation coefficient of chacteristic polynomials of Wigner matrices which yields in the limit the correlation kernel of the spectrum of Gaussian matrices. Analoguous results for other ensembles of random matrices and for correlations of zeta-functions are discussed. This is joint work with H. Koesters.