Universality in orthogonal and symplectic invariant matrix models with quartic potential

DOI10.1023/A:1011457714198zbMath1002.15022OpenAlexW4241036540MaRDI QIDQ5947257

Alexandre Stojanovic

Publication date: 15 January 2003

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1011457714198

zbMATH Keywords

orthogonal polynomialsrandom matricescorrelation functionreproducing kernelsymplectic invariant lawsuniversality conjecture

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Random matrices (algebraic aspects) (15B52)

Related Items (11)

Rank 1 real Wishart spiked model ⋮ Edge universality for orthogonal ensembles of random matrices ⋮ Correlation kernels for discrete symplectic and orthogonal ensembles ⋮ Lectures on Random Matrix Models ⋮ Gaussian multiplicative chaos for Gaussian orthogonal and symplectic ensembles ⋮ Orthogonal and symplectic matrix models: universality and other properties ⋮ On the proof of universality for orthogonal and symplectic ensembles in random matrix theory ⋮ A Riemann-Hilbert problem for skew-orthogonal polynomials ⋮ On universality for orthogonal ensembles of random matrices ⋮ Bulk asymptotics of skew-orthogonal polynomials for quartic double well potential and universality in the matrix model ⋮ Book Review: Random matrix theory: invariant ensembles and universality

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