18 citations · 27 across the 3 of their papers we have counts for
3 papers
math.PR2020
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…
math.PR2008★ 18 cited
On the largest-eigenvalue process for generalized Wishart random matrices
A. B. Dieker, J. Warren
Using a change-of-measure argument, we prove an equality in law between the process of largest eigenvalues in a generalized Wishart random-matrix process and a last-passage percola…
math.PR2008★ 9 cited
Series Jackson networks and non-crossing probabilities
A. B. Dieker, J. Warren
This paper studies the queue length process in series Jackson networks with external input to the first station. We show that its Markov transition probabilities can be written as…