On permanental polynomials of certain random matrices

DOI10.1155/IMRN/2006/61570zbMath1108.15025arXivmath-ph/0602039OpenAlexW2052232155MaRDI QIDQ3413393

Yan. V. Fyodorov

Publication date: 4 January 2007

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0602039

zbMATH Keywords

eigenvaluescharacteristic polynomialcorrelation functionspermanentGaussian unitary ensemblecircular unitary ensembleHermitian random matricespermanental roots

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52)

Related Items (5)

The band structure of a model of spatial random permutation ⋮ The expected characteristic and permanental polynomials of the random Gram matrix ⋮ On the permanents of circulant and degenerate Schur matrices ⋮ On the second-order correlation function of the characteristic polynomial of a Hermitian Wigner matrix ⋮ Immanants of blocks from random matrices in some unitary ensembles

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