Universality in the two‐matrix model: a Riemann‐Hilbert steepest‐descent analysis (Q5323025)

scientific article; zbMATH DE number 5585585

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English	Universality in the two‐matrix model: a Riemann‐Hilbert steepest‐descent analysis	scientific article; zbMATH DE number 5585585

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instance of

scholarly article

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title

Universality in the two‐matrix model: a Riemann‐Hilbert steepest‐descent analysis (English)

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Communications on Pure and Applied Mathematics

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publication date

23 July 2009

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full work available at URL

https://arxiv.org/abs/0807.4814

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zbMATH Keywords

random matrices

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matrix pair

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eigenvalue statistics

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orthogonal polynomials

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steepest-descent

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Hermitian matrices

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matrix-valued Riemann-Hilbert problem

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MaRDI profile type

MaRDI publication profile

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cites work

The spectrum of coupled random matrices

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Multiple orthogonal polynomials

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Regularity of a vector potential problem and its spectral curve

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Mixed correlation function and spectral curve for the 2-matrix model

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Biorthogonal polynomials for two-matrix models with semiclassical potentials

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The PDEs of biorthogonal polynomials arising in the two-matrix model

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Duality, biorthogonal polynomials and multi-matrix models

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Differential systems for biorthogonal polynomials appearing in 2-Matrix models and the associated Riemann-Hilbert problem

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The Cauchy two-matrix model

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Birth of a Cut in Unitary Random Matrix Ensembles

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Multiple orthogonal polynomials of mixed type and non-intersecting Brownian motions

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Asymptotics of non-intersecting Brownian motions and a \(4\times 4\) Riemann-Hilbert problem

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New results on the equilibrium measure for logarithmic potentials in the presence of an external field

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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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Identifiers

zbMATH Open document ID

1221.15052

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DOI

10.1002/cpa.20269

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5323025