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Painlevé III Asymptotics of Hankel Determinants for a Perturbed Jacobi Weight - MaRDI portal

Painlevé III Asymptotics of Hankel Determinants for a Perturbed Jacobi Weight (Q3458145)

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Language	Label	Description	Also known as
English	Painlevé III Asymptotics of Hankel Determinants for a Perturbed Jacobi Weight	scientific article

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scholarly article

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Painlevé III Asymptotics of Hankel Determinants for a Perturbed Jacobi Weight (English)

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Studies in Applied Mathematics

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publication date

8 December 2015

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full work available at URL

https://arxiv.org/abs/1412.8586

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zbMATH Keywords

nonlinear steepest descent analysis

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asymptotic approximations

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perturbed Jacobi polynomials

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MaRDI profile type

MaRDI publication profile

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Level spacing distributions and the Bessel kernel

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Monodromy problem and the boundary condition for some Painlevé equations

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Application of the τ‐function theory of Painlevé equations to random matrices: P<sub>V</sub>, P<sub>III</sub>, the LUE, JUE, and CUE

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Boundary conditions associated with the Painlevé III′ and V evaluations of some random matrix averages

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

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Strong asymptotics of the recurrence coefficients of orthogonal polynomials associated to the generalized Jacobi weight.

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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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Toeplitz Matrices and Toeplitz Determinants under the Impetus of the Ising Model: Some History and Some Recent Results

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Emergence of a singularity for Toeplitz determinants and Painlevé V

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Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities

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Toeplitz determinants with merging singularities

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A matrix model with a singular weight and Painlevé III

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Critical edge behavior and the Bessel to Airy transition in the singularly perturbed Laguerre unitary ensemble

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Painlevé III asymptotics of Hankel determinants for a singularly perturbed Laguerre weight

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Multi-critical unitary random matrix ensembles and the general Painlevé II equation

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

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

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Painlevé XXXIV Asymptotics of Orthogonal Polynomials for the Gaussian Weight with a Jump at the Edge

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Critical edge behavior in the modified Jacobi ensemble and Painlevé equations

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Critical edge behavior in the modified Jacobi ensemble and the Painlevé V transcendents

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The isomonodromy approach to matrix models in 2D quantum gravity

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1111/SAPM.12090

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Sitelinks

Mathematics(1 entry)

mardi Publication:3458145

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