Universality for eigenvalue correlations from the unitary ensemble associated with a family of singular weights

DOI10.1063/1.3638427zbMath1272.82018OpenAlexW2067030793MaRDI QIDQ2849785

Yu-Qiu Zhao, Jian-Rong Zhou, Shuai-Xia Xu

Publication date: 24 September 2013

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

Full work available at URL: https://doi.org/10.1063/1.3638427

zbMATH Keywords

Airy kernelSzegö class weights

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Brownian motion (60J65) Eigenvalues, singular values, and eigenvectors (15A18) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31) Riemann-Hilbert problems in context of PDEs (35Q15) Kernel operators (47B34)

Related Items (5)

An update on local universality limits for correlation functions generated by unitary ensembles ⋮ Scaling limits of Jacobi matrices and the Christoffel-Darboux kernel ⋮ Critical edge behavior and the Bessel to Airy transition in the singularly perturbed Laguerre unitary ensemble ⋮ Critical edge behavior in the modified Jacobi ensemble and the Painlevé V transcendents ⋮ Asymptotic behaviour of Christoffel-Darboux kernel via three-term recurrence relation. I

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