DOI10.1088/0305-4470/39/40/007zbMath1108.15023arXivmath-ph/0606064OpenAlexW3101125416MaRDI QIDQ3418405
Yang Chen, Misha V. Feigin
Publication date: 5 February 2007
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0606064
Asymptotics for a singularly perturbed GUE, Painlevé III, double-confluent Heun equations, and small eigenvalues ⋮
Generalized Hermite polynomials and monodromy-free Schrödinger operators ⋮
PDEs SATISFIED BY EXTREME EIGENVALUES DISTRIBUTIONS OF GUE AND LUE ⋮
Center of mass distribution of the Jacobi unitary ensembles: Painlevé V, asymptotic expansions ⋮
Approximation of zeros of generalized Hermite polynomials by modulated elliptic function ⋮
The Hankel determinant associated with a singularly perturbed Laguerre unitary ensemble ⋮
Differential equations for families of semi-classical orthogonal polynomials within class one ⋮
A degenerate Gaussian weight connected with Painlevé equations and Heun equations ⋮
Hankel determinants for a Gaussian weight with Fisher–Hartwig singularities and generalized Painlevé IV equation ⋮
Gap probability of the circular unitary ensemble with a Fisher-Hartwig singularity and the coupled Painlevé V system ⋮
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 ⋮
Matrix factorizations and orthogonal polynomials ⋮
Semi-classical orthogonal polynomials associated with a modified Gaussian weight ⋮
Painlevé V and confluent Heun equations associated with a perturbed Gaussian unitary ensemble ⋮
Asymptotic gap probability distributions of the Gaussian unitary ensembles and Jacobi unitary ensembles ⋮
Nonintegrability of the Painlevé IV equation in the Liouville–Arnold sense and Stokes phenomena ⋮
The Hilbert series of \(\mathcal{N}=1\) \(SO(N_c)\) and \(Sp(N_c)\) SQCD, Painlevé VI and integrable systems ⋮
Tracy-Widom distributions in critical unitary random matrix ensembles and the coupled Painlevé II system ⋮
Non linear difference equations arising from a deformation of the \(q\)-Laguerre weight ⋮
Properties of Certain Classes of Semiclassical Orthogonal Polynomials ⋮
A simple derivation of the Tracy–Widom distribution of the maximal eigenvalue of a Gaussian unitary random matrix ⋮
Painlevé V for a Jacobi unitary ensemble with random singularities ⋮
Random matrix models, double-time Painlevé equations, and wireless relaying ⋮
On integrable Ermakov-Painlevé IV systems ⋮
Differential equations for deformed Laguerre polynomials ⋮
Painlevé III and a singular linear statistics in Hermitian random matrix ensembles. I. ⋮
Classical skew orthogonal polynomials in a two-component log-gas with charges \(+1\) and \(+2\) ⋮
Orthogonal polynomials on a bi-lattice ⋮
On properties of a deformed Freud weight ⋮
Perturbed Hankel determinant, correlation functions and Painlevé equations ⋮
Complete classification of rational solutions of \(A_{2n}\)-Painlevé systems ⋮
A Generalized Freud Weight ⋮
Rational solutions of the classical Boussinesq system ⋮
RATIONAL SOLUTIONS OF THE BOUSSINESQ EQUATION ⋮
On certain properties of perturbed Freud-type weight: a revisit ⋮
Painlevé IV, σ-form, and the deformed Hermite unitary ensembles ⋮
Large-degree asymptotics of rational Painlevé-IV solutions by the isomonodromy method ⋮
Singular linear statistics of the Laguerre unitary ensemble and Painlevé. III. Double scaling analysis ⋮
Painlevé II in random matrix theory and related fields ⋮
Generalised Airy polynomials
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