On absolute moments of characteristic polynomials of a certain class of complex random matrices

被引：33

作者：

Fyodorov, Yan V. ^{[1
]}

Khoruzhenko, Boris A.

机构：

[1] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England

[2] Queen Mary Univ London, Sch Math Sci, London E1 4NS, England

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2007年 / 273卷 / 03期

关键词：

D O I：

10.1007/s00220-007-0270-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The integer moments of the spectral determinant vertical bar det(zI - W)vertical bar(2) of complex random matrices W are obtained in terms of the characteristic polynomial of the positive-semidefinite matrix WW dagger 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.

引用

页码：561 / 599

页数：39

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