Skew-orthogonal polynomials and random-matrix ensembles

DOI10.1103/PhysRevE.65.046221zbMath1244.81027OpenAlexW2008947224WikidataQ43989742 ScholiaQ43989742MaRDI QIDQ2903438

Saugata Ghosh, Akhilesh Pandey

Publication date: 9 August 2012

Published in: Physical Review E (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1103/physreve.65.046221

zbMATH Keywords

skew-orthogonal polynomialsrandom-matrix ensembles

Mathematics Subject Classification ID

Quantum chaos (81Q50) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Random matrices (algebraic aspects) (15B52) Applications of hypergeometric functions (33C90)

Related Items (5)

The correlated Jacobi and the correlated Cauchy-Lorentz ensembles ⋮ A Riemann-Hilbert problem for skew-orthogonal polynomials ⋮ Crossover ensembles of random matrices and skew-orthogonal polynomials ⋮ Bulk asymptotics of skew-orthogonal polynomials for quartic double well potential and universality in the matrix model ⋮ Moments of the transmission eigenvalues, proper delay times, and random matrix theory. I

Cites Work

• Gaussian ensembles of random Hermitian matrices intermediate between orthogonal and unitary ones
• Brownian-motion model of discrete spectra
• Eigenvalue distribution of large random matrices, from one matrix to several coupled matrices
• Universality of the correlations between eigenvalues of large random matrices.
• A note on correlations between eigenvalues of a random matrix
• Correlations between eigenvalues of a random matrix
• Eigenvalue correlations in the circular ensembles
• Random matrices and information theory
• A Class of Matrix Ensembles

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