New correlation functions for random matrices and integrals over supergroups

DOI10.1088/0305-4470/36/3/309zbMath1066.82022arXivmath-ph/0208001OpenAlexW4297822448MaRDI QIDQ4465824

Shinobu Hikami, Edouard Brézin

Publication date: 9 June 2004

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

Full work available at URL: https://arxiv.org/abs/math-ph/0208001

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random matrices (algebraic aspects) (15B52) Applications of hypergeometric functions (33C90) Analysis on supermanifolds or graded manifolds (58C50)

Related Items (7)

On the averages of characteristic polynomials from classical groups ⋮ Giambelli compatible point processes ⋮ Characteristic polynomials of sample covariance matrices: the non-square case ⋮ Elastic enhancement factor as a quantum chaos probe ⋮ Brownian-motion ensembles of random matrix theory: a classification scheme and an integral transform method ⋮ Universal results for correlations of characteristic polynomials: Riemann-Hilbert approach ⋮ Integration of Grassmann variables over invariant functions on flat superspaces

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