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math.PR2024
Exchangeable arrays and integrable systems for characteristic polynomials of random matrices
Theodoros Assiotis, Mustafa Alper Gunes, Jonathan P. Keating +1
The joint moments of the derivatives of the characteristic polynomial of a random unitary matrix, and also a variant of the characteristic polynomial that is real on the unit circl…
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…