Circular \(\beta \) ensembles, CMV representation, characteristic polynomials

DOI10.1007/s11425-009-0099-2zbMath1179.15038OpenAlexW1996463265MaRDI QIDQ1042996

Zhonggen Su

Publication date: 7 December 2009

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0099-2

zbMATH Keywords

characteristic polynomialsrandom matrix ensemblesmoment identitycircular \(\beta\) ensemblesCMV representation

Mathematics Subject Classification ID

Random matrices (algebraic aspects) (15B52)

Related Items (4)

Mod-Gaussian convergence for random determinants ⋮ Limits for circular Jacobi beta-ensembles ⋮ Resurgence relation and global asymptotic analysis of orthogonal polynomials via the Riemann-Hilbert approach ⋮ Mesoscopic central limit theorem for the circular \(\beta\)-ensembles and applications

Cites Work

• Eigenvalue statistics for CMV matrices: From Poisson to clock via random matrix ensembles
• Singularity dominated strong fluctuations for some random matrix averages
• Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle
• Random matrices, magic squares and matching polynomials
• CMV matrices: Five years after
• Secular determinants of random unitary matrices
• Patterns in eigenvalues: the 70th Josiah Willard Gibbs lecture
• Matrix models for beta ensembles
• Random matrix theory and \(\zeta(1/2+it)\).
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