Tracy-Widom distributions in critical unitary random matrix ensembles and the coupled Painlevé II system
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Publication:1720192
DOI10.1007/s00220-018-3257-yzbMath1464.60009arXiv1708.06113OpenAlexW3103661048MaRDI QIDQ1720192
Publication date: 12 February 2019
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.06113
Related Items (13)
Large gap asymptotics for Airy kernel determinants with discontinuities ⋮ On integrals of the tronquée solutions and the associated Hamiltonians for the Painlevé II equation ⋮ Asymptotics of the deformed Fredholm determinant of the confluent hypergeometric kernel ⋮ Gap probability of the circular unitary ensemble with a Fisher-Hartwig singularity and the coupled Painlevé V system ⋮ A two-component Sasa-Satsuma equation: large-time asymptotics on the line ⋮ Laguerre unitary ensembles with jump discontinuities, PDEs and the coupled Painlevé V system ⋮ Gaussian unitary ensembles with pole singularities near the soft edge and a system of coupled Painlevé XXXIV equations ⋮ Spectral curves, variational problems and the Hermitian matrix model with external source ⋮ The generating function for the Bessel point process and a system of coupled Painlevé V equations ⋮ How much can the eigenvalues of a random Hermitian matrix fluctuate? ⋮ Airy kernel determinant solutions to the KdV equation and integro-differential Painlevé equations ⋮ Gaussian unitary ensemble with jump discontinuities and the coupled Painlevé II and IV systems ⋮ Gap probabilities in the bulk of the Airy process
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