Random matrices with merging singularities and the Painlevé V equation (Q274862)

scientific article; zbMATH DE number 6573019

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English	Random matrices with merging singularities and the Painlevé V equation	scientific article; zbMATH DE number 6573019

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instance of

scholarly article

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title

Random matrices with merging singularities and the Painlevé V equation (English)

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SIGMA. Symmetry, Integrability and Geometry: Methods and Applications

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publication date

25 April 2016

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full work available at URL

https://arxiv.org/abs/1508.06734

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zbMATH Keywords

random matrices

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Painlevé equations

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Riemann-Hilbert problems

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MaRDI profile type

Publication

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cites work

QCD\(_3\) and the replica method

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Characteristic polynomials of random matrices.

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Emergence of a singularity for Toeplitz determinants and Painlevé V

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Toeplitz determinants with merging singularities

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

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

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Q4487945

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

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Q5394330

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The isomonodromy approach to matrix models in 2D quantum gravity

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Applications and generalizations of Fisher–Hartwig asymptotics

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Application of theτ-function theory of Painlevé equations to random matrices:PVI, the JUE, CyUE, cJUE and scaled limits

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Fractional Brownian motion with Hurst index \({H = 0}\) and the Gaussian unitary ensemble

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On the distribution of the maximum value of the characteristic polynomial of GUE random matrices

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On the asymptotics of some large Hankel determinants generated by Fisher–Hartwig symbols defined on the real line

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

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Monodromy problem and the boundary condition for some Painlevé equations

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Correlations of the characteristic polynomials in the Gaussian unitary ensemble or a singular Hankel determinant

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Generic behavior of the density of states in random matrix theory and equilibrium problems in the presence of real analytic external fields

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Universality for eigenvalue correlations at the origin of the spectrum

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Schlesinger transformations of Painlevé II-V

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Q3579593

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Q4360405

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

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Critical edge behavior in the modified Jacobi ensemble and Painlevé equations

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Identifiers

zbMATH Open document ID

1338.60013

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DOI

10.3842/SIGMA.2016.031

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Mathematics Subject Classification ID

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IPFS content identifier

bafkreieevopohdgnnimpx5jygwiy3gmognoqhgybahkiuoclrizyb5zptq

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Sitelinks

Mathematics(1 entry)

mardi Publication:274862