Universal microscopic correlation functions for products of independent Ginibre matrices

DOI10.1088/1751-8113/45/46/465201zbMath1261.15041arXiv1208.0187OpenAlexW3104998235MaRDI QIDQ3145879

Zdzislaw Burda, Gernot Akemann

Publication date: 17 December 2012

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.0187

zbMATH Keywords

eigenvaluesrandom matricescorrelation functionsdeterminantMeijer \(G\)-functionGinibre matricesmicroscopic correlations

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Determinants, permanents, traces, other special matrix functions (15A15) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

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