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Painlevé IV Asymptotics for Orthogonal Polynomials with Respect to a Modified Laguerre Weight - MaRDI portal

Painlevé IV Asymptotics for Orthogonal Polynomials with Respect to a Modified Laguerre Weight (Q3393019)

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Language	Label	Description	Also known as
English	Painlevé IV Asymptotics for Orthogonal Polynomials with Respect to a Modified Laguerre Weight	scientific article

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scholarly article

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Painlevé IV Asymptotics for Orthogonal Polynomials with Respect to a Modified Laguerre Weight (English)

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Arno B. J. Kuijlaars

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Studies in Applied Mathematics

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publication date

18 August 2009

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full work available at URL

https://arxiv.org/abs/0804.2564

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zbMATH Keywords

modified Laguerre weight

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orthogonal polynomial

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Painlevé IV equation

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MaRDI profile type

MaRDI publication profile

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Riemann-Hilbert analysis for Laguerre polynomials with large negative parameter.

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A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation

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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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Double scaling limit in the random matrix model: The Riemann-Hilbert approach

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Universality of the double scaling limit in random matrix models

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Level-spacing distributions and the Airy kernel

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On the distribution of the length of the longest increasing subsequence of random permutations

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Painlevé I asymptotics for orthogonal polynomials with respect to a varying quartic weight

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The isomonodromy approach to matrix models in 2D quantum gravity

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Universality of the break-up profile for the KdV equation in the small dispersion limit using the Riemann-Hilbert approach

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Universality of a double scaling limit near singular edge points in random matrix models

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Critical Edge Behavior in Unitary Random Matrix Ensembles and the Thirty-Fourth Painlevé Transcendent

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On Painlevé's equations I, II and IV

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

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Self-similar solutions of the modified nonlinear Schrödinger equation

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Monodromy- and spectrum-preserving deformations. I

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The Riemann--Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]

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Bäcklund Transformations and Solution Hierarchies for the Fourth Painlevé Equation

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Solutions of the second and fourth Painlevé equations, I

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Identifiers

zbMATH Open document ID

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10.1111/j.1467-9590.2008.00423.x

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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:3393019

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