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math-ph2025
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…
math-ph2024
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…