DOI10.1088/1751-8113/42/3/035203zbMath1161.81014arXiv0807.4758OpenAlexW2964073092MaRDI QIDQ3600889
Yang Chen, Estelle L. Basor
Publication date: 6 February 2009
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0807.4758
Asymptotics for a singularly perturbed GUE, Painlevé III, double-confluent Heun equations, and small eigenvalues ⋮
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 a Pollaczek-Jacobi type orthogonal polynomials ⋮
A degenerate Gaussian weight connected with Painlevé equations and Heun equations ⋮
Painlevé V, Painlevé XXXIV and the degenerate Laguerre unitary ensemble ⋮
The recurrence coefficients of a semi-classical Laguerre polynomials and the large n asymptotics of the associated Hankel determinant ⋮
Asymptotic gap probability distributions of the Gaussian unitary ensembles and Jacobi unitary ensembles ⋮
Laguerre unitary ensembles with jump discontinuities, PDEs and the coupled Painlevé V system ⋮
A characterization of some semi classical orthogonal polynomials ⋮
The Hilbert series of \(\mathcal{N}=1\) \(SO(N_c)\) and \(Sp(N_c)\) SQCD, Painlevé VI and integrable systems ⋮
Painlevé transcendents and the Hankel determinants generated by a discontinuous Gaussian weight ⋮
Non linear difference equations arising from a deformation of the \(q\)-Laguerre weight ⋮
Continuous and discrete Painlevé equations arising from the gap probability distribution of the finite \(n\) Gaussian unitary ensembles ⋮
Tracy-Widom distributions for the Gaussian orthogonal and symplectic ensembles revisited: a skew-orthogonal polynomials approach ⋮
The relationship between semiclassical Laguerre polynomials and the fourth Painlevé equation ⋮
Painlevé IV and the semi-classical Laguerre unitary ensembles with one jump discontinuities ⋮
Random matrix models, double-time Painlevé equations, and wireless relaying ⋮
Painlevé III' and the Hankel determinant generated by a singularly perturbed Gaussian weight ⋮
Integrable structure of products of finite complex Ginibre random matrices ⋮
Painlevé VI and the Unitary Jacobi Ensembles ⋮
Differential equations for deformed Laguerre polynomials ⋮
Painlevé III and a singular linear statistics in Hermitian random matrix ensembles. I. ⋮
Orthogonal polynomials on a bi-lattice ⋮
Finite N corrections to the limiting distribution of the smallest eigenvalue of Wishart complex matrices ⋮
Orthogonal polynomials, asymptotics, and Heun equations ⋮
Asymptotics of determinants of Hankel matrices via non-linear difference equations ⋮
Asymptotics of the largest eigenvalue distribution of the Laguerre unitary ensemble ⋮
On certain properties of perturbed Freud-type weight: a revisit ⋮
Singular linear statistics of the Laguerre unitary ensemble and Painlevé. III. Double scaling analysis ⋮
Gap probabilities in the Laguerre unitary ensemble and discrete Painlevé equations
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