4 papers
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…
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…
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…
Lecture hall graphs and the Askey scheme
Sylvie Corteel, Bhargavi Jonnadula, Jonathan P. Keating +1
We establish, for every family of orthogonal polynomials in the -Askey scheme and the Askey scheme, a combinatorial model for mixed moments and coefficients in terms of paths…