Transition between Hermitian and non-Hermitian Gaussian ensembles

DOI10.1088/1751-8113/46/11/115001zbMath1267.15031OpenAlexW2150311427MaRDI QIDQ4924188

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Publication date: 30 May 2013

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

Full work available at URL: https://semanticscholar.org/paper/7f89c806f88e8822b0e9ecec11bdf97dfa380ef8

zbMATH Keywords

Hermitian matricesHermite polynomialsGaussian unitary ensemblenon-Hermitian matricesAiry kernelChristoffel-Darboux-like formula

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Random matrices (algebraic aspects) (15B52)

Related Items (5)

A pseudo-Hermitian \(\beta\)-Hermite family of matrices ⋮ Pseudo-Hermitian $$\beta $$ β -Ensembles with Complex Eigenvalues ⋮ Level correlation in coupled harmonic oscillator systems ⋮ Average spectral density of multiparametric Gaussian ensembles of complex matrices ⋮ The interpolating Airy kernels for the \(\beta=1\) and \(\beta=4\) elliptic Ginibre ensembles

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