11 citations · 20 across the 8 of their papers we have counts for
8 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…
Hierarchical Structure in the Trace Formula
Jonathan P. Keating
Guztwiller's Trace Formula is central to the semiclassical theory of quantum energy levels and spectral statistics in classically chaotic systems. Motivated by recent developments…
On the joint moments of the characteristic polynomials of random unitary matrices
Theodoros Assiotis, Jonathan P. Keating, Jon Warren
We establish the asymptotics of the joint moments of the characteristic polynomial of a random unitary matrix and its derivative for general real values of the exponents, proving a…
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…
On the variance of sums of arithmetic functions over primes in short intervals and pair correlation for L-functions in the Selberg class
H. M. Bui, J. P. Keating, D. J. Smith
We establish the equivalence of conjectures concerning the pair correlation of zeros of -functions in the Selberg class and the variances of sums of a related class of arithmeti…