On Absolute Moments of Characteristic Polynomials of a Certain Class of Complex Random Matrices
Abstract
The integer moments of the spectral determinant  det ( zI  W) ^{2} of complex random matrices W are obtained in terms of the characteristic polynomial of the positivesemidefinite 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 are discussed in this context.
 Publication:

Communications in Mathematical Physics
 Pub Date:
 August 2007
 DOI:
 10.1007/s002200070270y
 arXiv:
 arXiv:mathph/0602032
 Bibcode:
 2007CMaPh.273..561F
 Keywords:

 Mathematical Physics
 EPrint:
 41 page, typos corrected