156 citations · 1.4k across the 59 of their papers we have counts for
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Joint moments of higher order derivatives of CUE characteristic polynomials II: Structures, recursive relations, and applications
Jonathan P. Keating, Fei Wei
In a companion paper \cite{jon-fei}, we established asymptotic formulae for the joint moments of derivatives of the characteristic polynomials of CUE random matrices. The leading o…
Joint moments of higher order derivatives of CUE characteristic polynomials I: asymptotic formulae
Jonathan P. Keating, Fei Wei
We derive explicit asymptotic formulae for the joint moments of the -th and -th derivatives of the characteristic polynomials of CUE random matrices for any non-negative…
Moments of Moments of the Characteristic Polynomials of Random Orthogonal and Symplectic Matrices
Tom Claeys, Johannes Forkel, Jonathan P. Keating
Using asymptotics of Toeplitz+Hankel determinants, we establish formulae for the asymptotics of the moments of the moments of the characteristic polynomials of random orthogonal an…
Universal characteristics of deep neural network loss surfaces from random matrix theory
Nicholas P Baskerville, Jonathan P Keating, Francesco Mezzadri +2
This paper considers several aspects of random matrix universality in deep neural networks. Motivated by recent experimental work, we use universal properties of random matrices re…
Multifractal eigenfunctions for quantum star graphs
Jonathan P. Keating, Henrik Ueberschaer
We prove that the eigenfunctions of quantum star graphs exhibit multifractal self-similar structure in certain specified circumstances. In the semiclassical regime, when the spectr…
On the moments of characteristic polynomials
Bhargavi Jonnadula, Jon Keating, Francesco Mezzadri
We examine the asymptotics of the moments of characteristic polynomials of matrices drawn from the Hermitian ensembles of Random Matrix Theory, in the limit as $N\to\in…