A centerless representation of the Virasoro algebra associated with the unitary circular ensemble

DOI10.1016/j.cam.2010.06.006zbMath1231.15021arXiv1001.4244OpenAlexW2023372954MaRDI QIDQ645677

Didier Vanderstichelen, Luc Haine

Publication date: 10 November 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.4244

zbMATH Keywords

random matricesVirasoro algebra

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Random matrices (algebraic aspects) (15B52)

Related Items (1)

Continuous and discrete Painlevé equations arising from the gap probability distribution of the finite \(n\) Gaussian unitary ensembles

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Differential equations in the spectral parameter, Darboux transformations and a hierarchy of master symmetries for KdV
• Fredholm determinants, differential equations and matrix models
• A bi-Hamiltonian structure for the integrable, discrete nonlinear Schrödinger system
• Integrals over classical groups, random permutations, Toda and Toeplitz lattices
• Mastersymmetries, Higher Order Time-Dependent Symmetries and Conserved Densities of Nonlinear Evolution Equations
• A simple model of the integrable Hamiltonian equation
• The Jacobi polynomial ensemble and the Painlevé VI equation
• MULTIPLE HAMILTONIAN STRUCTURE OF BOGOYAVLENSKY–TODA LATTICES
• The correspondence between Tracy–Widom and Adler–Shiota–van Moerbeke approaches in random matrix theory: The Gaussian case
• Random matrices, vertex operators and the Virasoro algebra
• Hermitian, symmetric and symplectic random ensembles: PDEs for the distribution of the spectrum.

This page was built for publication: A centerless representation of the Virasoro algebra associated with the unitary circular ensemble