Limit correlation functions for fixed trace random matrix ensembles

DOI10.1007/s00220-008-0484-7zbMath1165.82016arXivmath/0610149OpenAlexW2033740788MaRDI QIDQ1006863

Friedrich Götze, Mikhaĭl Iosifovich Gordin

Publication date: 26 March 2009

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610149

zbMATH Keywords

random matrixHilbert-Schmidt ensembleLimit correlation function

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random matrices (algebraic aspects) (15B52) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31)

Related Items

Products of random matrices from fixed trace and induced Ginibre ensembles, Universality at weak and strong non-Hermiticity beyond the elliptic Ginibre ensemble, Compact smallest eigenvalue expressions in Wishart–Laguerre ensembles with or without a fixed trace, Some universal properties for restricted trace Gaussian orthogonal, unitary and symplectic ensembles, Convergence and asymptotic approximations to universal distributions in probability, Fixed trace β-Hermite ensembles: Asymptotic eigenvalue density and the edge of the density, Fine asymptotics for models with Gamma type moments, Fluctuations of the spectrum in rotationally invariant random matrix ensembles

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