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Correlation of characteristic polynomials in random matrix ensembles
ProbabilitySpeaker: | 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.