On absolute moments of characteristic polynomials of a certain class of complex random matrices
Fyodorov, Yan V · Khoruzhenko, Boris A
Original · EN
Integer moments of the spectral determinant |(zI-W)|² of complex random matrices W are obtained in terms of the characteristic polynomial of the Hermitian matrix WW* for the class of matrices W=AU where A is a given matrix and U is random unitary. This work is motivated by studies of complex eigenvalues of random matrices and potential applications of the obtained results in this context are discussed.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.