Correlation kernels for discrete symplectic and orthogonal ensembles (Q842429)

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English	Correlation kernels for discrete symplectic and orthogonal ensembles	scientific article

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title

Correlation kernels for discrete symplectic and orthogonal ensembles (English)

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Communications in Mathematical Physics

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publication date

25 September 2009

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full work available at URL

https://arxiv.org/abs/0712.1693

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https://authors.library.caltech.edu/88703/

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zbMATH Keywords

Meixner and Charlier orthogonal polynomials

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discrete Riemann-Hilbert problem

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Laguerre ensembles

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MaRDI profile type

MaRDI publication profile

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cites work

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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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Universality at the edge of the spectrum for unitary, orthogonal, and symplectic ensembles of random matrices

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Universality in Random Matrix Theory for orthogonal and symplectic ensembles

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Universality for orthogonal and symplectic Laguerre-type ensembles

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Polynuclear growth on a flat substrate and edge scaling of GOE eigenvalues

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Correlation functions for random involutions

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Correlations for the orthogonal-unitary and symplectic-unitary transitions at the hard and soft edges

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Interpretations of some parameter dependent generalizations of classical matrix ensembles

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Correlations for superpositions and decimations of Laguerre and Jacobi orthogonal matrix ensembles with a parameter

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Harmonic analysis on the infinite symmetric group

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Correlation functions for multi-matrix models and quaternion determinants

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Dynamical correlations for vicious random walk with a wall

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Pfaffian expressions for random matrix correlation functions

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Transitive ensembles of random matrices related to orthogonal polynomials.

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Quaternion determinant expressions for multilevel dynamical correlation functions of parametric random matrices

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Gaussian ensembles of random Hermitian matrices intermediate between orthogonal and unitary ones

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Universality in Chiral Random Matrix Theory at<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>β</mml:mi><mml:mspace /><mml:mo>=</mml:mo><mml:mspace /><mml:mn>1</mml:mn><mml:mn /></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>β</mml:mi><mml:mspace /><mml:mo>=</mml:mo><mml:mspace /><mml:mn>4</mml:mn><mml:mn /></mml:math>

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On some Gaussian ensembles of Hermitian matrices

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Universality in orthogonal and symplectic invariant matrix models with quartic potential

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Correlation functions, cluster functions, and spacing distributions for random matrices

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The Shifted Schur Process and Asymptotics of Large Random Strict Plane Partitions

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On the relation between orthogonal, symplectic and unitary matrix ensembles

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Identifiers

zbMATH Open document ID

1190.82005

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DOI

10.1007/s00220-008-0629-8

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:842429