A Fuchsian matrix differential equation for Selberg correlation integrals (Q663296)

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English	A Fuchsian matrix differential equation for Selberg correlation integrals	scientific article

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instance of

scholarly article

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title

A Fuchsian matrix differential equation for Selberg correlation integrals (English)

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zbMATH Open document ID

1245.82030

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DOI

10.1007/s00220-011-1305-y

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Communications in Mathematical Physics

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publication date

14 February 2012

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full work available at URL

https://arxiv.org/abs/1011.1654

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https://resolver.caltech.edu/CaltechAUTHORS:20120314-084236569

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Mathematics Subject Classification ID

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Fuchsian matrix differential equation

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Selberg correlation integral

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Wikidata QID

Q115388596

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MaRDI profile type

MaRDI publication profile

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Jacobi Polynomials Associated with Selberg Integrals

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The Calogero-Sutherland model and generalized classical polynomials

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Focusing and twinkling: critical exponents from catastrophes in non-Gaussian random short waves

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Universal power-law tails for singularity-dominated strong fluctuations

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Clusters of near-degenerate levels dominate negative moments of spectral determinants

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Universal twinkling exponents for spectral fluctuations associated with mixed chaology

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High order Fuchsian equations for the square lattice Ising model: \tilde{\chi}^{(5)}

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Holonomy of the Ising model form factors

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Painlevé versus Fuchs

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The fourth Painlevé equation and associated special polynomials

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The third Painlev equation and associated special polynomials

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Special polynomials associated with rational solutions of the Painlevé equations and applications to soliton equations

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Vortices and Polynomials

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On the Marginal Distributions of the Latent Roots of the Multivariate Beta Matrix

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Duality in random matrix ensembles for all \(\beta \)

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The beta-Jacobi matrix model, the CS decomposition, and generalized singular value problems

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Q4399896

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Recurrence equations for the computation of correlations in the \(1/r^2\) quantum many-body system

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A random matrix decimation procedure relating \(\beta = 2/( r + 1)\) to \(\beta = 2( r + 1)\)

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Q3574974

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Difference system for Selberg correlation integrals

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Singularity dominated strong fluctuations for some random matrix averages

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Q2759646

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Q3428110

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The importance of the Selberg integral

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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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Negative moments of characteristic polynomials of random GOE matrices and singularity-dominated strong fluctuations

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Orbit bifurcations and the scarring of wave functions

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Q4679649

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The connection problem associated with a Selberg type integral and the q-Racah polynomials

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THE EULER BETA-FUNCTION, THE VANDERMONDE DETERMINANT, LEGENDRE'S EQUATION, AND CRITICAL VALUES OF LINEAR FUNCTIONS ON A CONFIGURATION OF HYPERPLANES. I

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THE EULER BETA-FUNCTION, THE VANDERMONDE DETERMINANT, LEGENDRE'S EQUATION, AND CRITICAL VALUES OF LINEAR FUNCTIONS ON A CONFIGURATION OF HYPERPLANES. II

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Q4449106

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A Class of Generalized Hypergeometric Functions in Several Variables

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The Fuchsian differential equation of the square lattice Ising model (3)susceptibility

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Ising model susceptibility: the Fuchsian differential equation for χ(4)and its factorization properties

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mardi Publication:663296