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Universal structure and universal equations (PDE) for unitary ensembles - MaRDI portal

Universal structure and universal equations (PDE) for unitary ensembles (Q5253721)

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scientific article; zbMATH DE number 6440788

Language	Label	Description	Also known as
English	Universal structure and universal equations (PDE) for unitary ensembles	scientific article; zbMATH DE number 6440788

Statements

scholarly article

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Universal structure and universal equations (PDE) for unitary ensembles (English)

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Journal of Mathematical Physics

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publication date

27 May 2015

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full work available at URL

https://arxiv.org/abs/0910.4417

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MaRDI profile type

MaRDI publication profile

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Random matrices, vertex operators and the Virasoro algebra

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Matrix integrals, Toda symmetries, Virasoro constraints, and orthogonal polynomials

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Hermitian, symmetric and symplectic random ensembles: PDEs for the distribution of the spectrum.

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Generalized orthogonal polynomials, discrete KP and Riemann-Hilbert problems.

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Estimates of asymmetric Freud polynomials on the real line

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Semiclassical orthogonal polynomials, matrix models and isomonodromic tau functions

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Biorthogonal ensembles

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Fredholm determinants, Jimbo‐Miwa‐Ueno τ‐functions, and representation theory

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Janossy densities. I: Determinantal ensembles

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A Riemann-Hilbert approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics

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Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory

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Discrete Painlevé equations and their appearance in quantum gravity

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The isomonodromy approach to matrix models in 2D quantum gravity

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On the Bilinear Equations for Fredholm Determinants Appearing in Random Matrices

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DIFFERENTIAL EQUATIONS FOR QUANTUM CORRELATION FUNCTIONS

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Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II

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Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent

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Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function

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Deformation analysis of matrix models

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Janossy Densities for Unitary Ensembles at the Spectral Edge

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The correspondence between Tracy–Widom and Adler–Shiota–van Moerbeke approaches in random matrix theory: The Gaussian case

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Level-spacing distributions and the Airy kernel

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Fredholm determinants, differential equations and matrix models

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Random and Integrable Models in Mathematics and Physics

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Identifiers

zbMATH Open document ID

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10.1063/1.3458578

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5253721

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