On the linear statistics of Hermitian random matrices

From MaRDI portal
Publication:3839315

DOI10.1088/0305-4470/31/4/005zbMath0920.62065OpenAlexW1967768695MaRDI QIDQ3839315

Yang Chen, Nigel Lawrence

Publication date: 5 September 1999

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

Full work available at URL: https://doi.org/10.1088/0305-4470/31/4/005




Related Items (33)

Asymptotics for a singularly perturbed GUE, Painlevé III, double-confluent Heun equations, and small eigenvaluesPainlevé V and the Hankel determinant for a singularly perturbed Jacobi weightAsymptotic relations for semi-classical Laguerre orthogonal polynomials and the associated Hankel determinantsCenter of mass distribution of the Jacobi unitary ensembles: Painlevé V, asymptotic expansionsThe Hankel determinant associated with a singularly perturbed Laguerre unitary ensembleThe smallest eigenvalue of the ill-conditioned Hankel matrices associated with a semi-classical Hermite weightA degenerate Gaussian weight connected with Painlevé equations and Heun equationsPainlevé V, Painlevé XXXIV and the degenerate Laguerre unitary ensembleThe recurrence coefficients of a semi-classical Laguerre polynomials and the large n asymptotics of the associated Hankel determinantGlobal and local scaling limits for linear eigenvalue statistics of Jacobi \(\beta\)-ensemblesPainlevé V and confluent Heun equations associated with a perturbed Gaussian unitary ensembleA singular linear statistic for a perturbed LUE and the Hankel matricesAsymptotic gap probability distributions of the Gaussian unitary ensembles and Jacobi unitary ensemblesSingle-user MIMO system, Painlevé transcendents, and double scalingA review of exact results for fluctuation formulas in random matrix theoryExceptional solutions to the Painlevé VI equation associated with the generalized Jacobi weightLinear systems, Hankel products and the sinh-Gordon equationPainlevé transcendents and the Hankel determinants generated by a discontinuous Gaussian weightThe smallest eigenvalue of large Hankel matrices generated by a singularly perturbed Laguerre weightLinear statistics of random matrix ensembles at the spectrum edge associated with the Airy kernelRandom matrix models, double-time Painlevé equations, and wireless relayingOn determinant expansions for Hankel operatorsThe smallest eigenvalue of large Hankel matrices associated with a singularly perturbed Gaussian weightOn properties of a deformed Freud weightPerturbed Hankel determinant, correlation functions and Painlevé equationsExtremal correlators and random matrix theoryOrthogonal polynomials, asymptotics, and Heun equationsAsymptotic linear spectral statistics for spiked Hermitian random matricesAsymptotics of determinants of Hankel matrices via non-linear difference equationsStructure of some \(\mathbb Z\)-graded Lie superalgebras of vector fieldsPainlevé IV, σ-form, and the deformed Hermite unitary ensemblesSingular linear statistics of the Laguerre unitary ensemble and Painlevé. III. Double scaling analysisHypergeometric functions of matrix arguments and linear statistics of multi-spiked Hermitian matrix models




This page was built for publication: On the linear statistics of Hermitian random matrices