Singular linear statistics of the Laguerre unitary ensemble and Painlevé. III. Double scaling analysis
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Publication:5264402
DOI10.1063/1.4922620zbMath1351.33019arXiv1412.0102OpenAlexW1726767224MaRDI QIDQ5264402
Publication date: 27 July 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.0102
Related Items (18)
Asymptotics for a singularly perturbed GUE, Painlevé III, double-confluent Heun equations, and small eigenvalues ⋮ Painlevé V and the Hankel determinant for a singularly perturbed Jacobi weight ⋮ Asymptotic relations for semi-classical Laguerre orthogonal polynomials and the associated Hankel determinants ⋮ A system of nonlinear difference equations for recurrence relation coefficients of a modified Jacobi weight ⋮ Center of mass distribution of the Jacobi unitary ensembles: Painlevé V, asymptotic expansions ⋮ The Hankel determinant associated with a singularly perturbed Laguerre unitary ensemble ⋮ Painlevé V and confluent Heun equations associated with a perturbed Gaussian unitary ensemble ⋮ A singular linear statistic for a perturbed LUE and the Hankel matrices ⋮ Asymptotic gap probability distributions of the Gaussian unitary ensembles and Jacobi unitary ensembles ⋮ Single-user MIMO system, Painlevé transcendents, and double scaling ⋮ Exceptional solutions to the Painlevé VI equation associated with the generalized Jacobi weight ⋮ The smallest eigenvalue of large Hankel matrices generated by a singularly perturbed Laguerre weight ⋮ Painlevé V for a Jacobi unitary ensemble with random singularities ⋮ Painlevé III' and the Hankel determinant generated by a singularly perturbed Gaussian weight ⋮ The smallest eigenvalue of large Hankel matrices associated with a singularly perturbed Gaussian weight ⋮ Perturbed Hankel determinant, correlation functions and Painlevé equations ⋮ Orthogonal polynomials, asymptotics, and Heun equations ⋮ Kernels and point processes associated with Whittaker functions
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