Gap probabilities in non-Hermitian random matrix theory

DOI10.1063/1.3133108zbMath1216.60007arXiv0901.0897OpenAlexW3105034953MaRDI QIDQ3069118

L. B. Shifrin, Michael J. Phillips, Gernot Akemann

Publication date: 24 January 2011

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

Full work available at URL: https://arxiv.org/abs/0901.0897

zbMATH Keywords

matrix algebraprobabilitydeterminantsrandom processesBessel functionseigenvalues and eigenfunctions

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

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Cites Work

• Unnamed Item
• Distributions of Dirac operator eigenvalues
• Dyson's constant in the asymptotics of the Fredholm determinant of the sine kernel
• Unquenched QCD Dirac operator spectra at nonzero baryon chemical potential
• The complex Laguerre symplectic ensemble of non-Hermitian matrices
• Asymptotic behavior of spacing distributions for the eigenvalues of random matrices
• MATRIX MODELS AND QCD WITH CHEMICAL POTENTIAL
• Random matrices close to Hermitian or unitary: overview of methods and results
• The solution of a chiral random matrix model with complex eigenvalues
• Eigenvalue correlations in non-Hermitean symplectic random matrices
• Almost Hermitian Random Matrices: Crossover from Wigner-Dyson to Ginibre Eigenvalue Statistics
• Statistical Ensembles of Complex, Quaternion, and Real Matrices
• Characteristic polynomials in real Ginibre ensembles