Determinants of Random Matrices and Jack Polynomials of Rectangular Shape

DOI10.1111/1467-9590.00243zbMath1141.15313OpenAlexW2046155437MaRDI QIDQ3522173

David M. Jackson, George E. Andrews, Ian P. Goulden

Publication date: 1 September 2008

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/1467-9590.00243

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Determinants, permanents, traces, other special matrix functions (15A15)

Related Items (5)

The singular values of the GOE ⋮ The singular values of the GUE (less is more) ⋮ A rooted map invariant, non-orientability and Jack symmetric functions ⋮ An arithmetic property of moments of the \(\beta\)-Hermite ensemble and certain map enumerators ⋮ MOPS: multivariate orthogonal polynomials (symbolically)

Cites Work

• Unnamed Item
• Ensemble average of an arbitrary number of pairs of different eigenvalues using Grassmann integration
• Some combinatorial properties of Jack symmetric functions
• The Euler characteristic of the moduli space of curves
• A geometric parametrization for the virtual Euler characteristics of the moduli spaces of real and complex algebraic curves
• Maps in Locally Orientable Surfaces and Integrals Over Real Symmetric Surfaces
• Proof of a Conjecture of Goulden and Jackson

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