Discrete, Continuous and Asymptotic for a Modified Singularly Gaussian Unitary Ensemble and the Smallest Eigenvalue of Its Large Hankel Matrices
DOI10.1007/S11040-024-09477-WMaRDI QIDQ6489789
Publication date: 22 April 2024
Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)
Determinants, permanents, traces, other special matrix functions (15A15) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52) Other special orthogonal polynomials and functions (33C47) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Linear ordinary differential equations and systems in the complex domain (34M03)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The relationship between semiclassical Laguerre polynomials and the fourth Painlevé equation
- Painlevé V and a Pollaczek-Jacobi type orthogonal polynomials
- Orthogonal polynomials and their derivatives. I
- Estimates of the orthogonal polynomials with weight \(\exp (-x^ m)\), m an even positive integer
- Discrete Painlevé equations and their appearance in quantum gravity
- Smallest eigenvalues of Hankel matrices for exponential weights
- Orthonormal polynomials with generalized Freud-type weights.
- Painlevé III' and the Hankel determinant generated by a singularly perturbed Gaussian weight
- Painlevé III asymptotics of Hankel determinants for a singularly perturbed Laguerre weight
- Painlevé III and a singular linear statistics in Hermitian random matrix ensembles. I.
- The smallest eigenvalue of large Hankel matrices
- A differential equation for orthogonal polynomials
- A Generalized Freud Weight
- Statistical Theory of the Energy Levels of Complex Systems. I
- On the linear statistics of Hermitian random matrices
- Thermodynamic relations of the Hermitian matrix ensembles
- Small eigenvalues of large Hankel matrices
- The Hankel determinant associated with a singularly perturbed Laguerre unitary ensemble
- The recurrence coefficients of a semi-classical Laguerre polynomials and the large n asymptotics of the associated Hankel determinant
- Application of the τ‐function theory of Painlevé equations to random matrices: PV, PIII, the LUE, JUE, and CUE
- Jacobi polynomials from compatibility conditions
- On semiclassical orthogonal polynomials associated with a Freud‐type weixght
- The smallest eigenvalue of large Hankel matrices generated by a singularly perturbed Laguerre weight
- The smallest eigenvalue of large Hankel matrices associated with a singularly perturbed Gaussian weight
- On properties of a deformed Freud weight
- Orthogonal polynomials, asymptotics, and Heun equations
- Singular linear statistics of the Laguerre unitary ensemble and Painlevé. III. Double scaling analysis
- Coulumb Fluid, Painlevé Transcendents, and the Information Theory of MIMO Systems
- Painlevé VI and Hankel determinants for the generalized Jacobi weight
- Painlevé V and time-dependent Jacobi polynomials
- Asymptotics for a singularly perturbed GUE, Painlevé III, double-confluent Heun equations, and small eigenvalues
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