11 citations · 20 across the 8 of their papers we have counts for
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Joint Moments of Characteristic Polynomials from the Orthogonal and Unitary Symplectic Groups
Theodoros Assiotis, Mustafa Alper Gunes, Jonathan P. Keating +1
We establish asymptotic formulae for general joint moments of characteristic polynomials and their higher-order derivatives associated with matrices drawn randomly from the groups…
Quantum interpretation of lattice paths
Bhargavi Jonnadula, Jonathan P. Keating
In the 1980s, Viennot developed a combinatorial approach to studying mixed moments of orthogonal polynomials using Motzkin paths. Recently, an alternative combinatorial model for t…
On the moments of the moments of the characteristic polynomials of Haar distributed symplectic and orthogonal matrices
T. Assiotis, E. C. Bailey, J. P. Keating
We establish formulae for the moments of the moments of the characteristic polynomials of random orthogonal and symplectic matrices in terms of certain lattice point count problems…