Random matrices with merging singularities and the Painlevé V equation
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Publication:274862
DOI10.3842/SIGMA.2016.031zbMath1338.60013arXiv1508.06734MaRDI QIDQ274862
Publication date: 25 April 2016
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.06734
Random matrices (probabilistic aspects) (60B20) Riemann-Hilbert problems in context of PDEs (35Q15) Painlevé-type functions (33E17)
Related Items (8)
Asymptotics of Muttalib-Borodin determinants with Fisher-Hartwig singularities ⋮ Random Hermitian matrices and Gaussian multiplicative chaos ⋮ Uniform asymptotics of Toeplitz determinants with Fisher-Hartwig singularities ⋮ Gaussian multiplicative chaos for Gaussian orthogonal and symplectic ensembles ⋮ Thinning and conditioning of the circular unitary ensemble ⋮ Some open problems in random matrix theory and the theory of integrable systems. II ⋮ How much can the eigenvalues of a random Hermitian matrix fluctuate? ⋮ Gaussian unitary ensemble with jump discontinuities and the coupled Painlevé II and IV systems
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