59 citations · 291 across the 11 of their papers we have counts for
11 papers
A method for calculating spectral statistics based on random-matrix universality with an application to the three-point correlations of the Riemann zeros
E. Bogomolny, J. P. Keating
We illustrate a general method for calculating spectral statistics that combines the universal (Random Matrix Theory limit) and the non-universal (trace-formula-related) contributi…
Two-point correlation function for Dirichlet L-functions
E. Bogomolny, J. P. Keating
The two-point correlation function for the zeros of Dirichlet L-functions at a height E on the critical line is calculated heuristically using a generalization of the Hardy-Littlew…
Eigenfunction Statistics on Quantum Graphs
S. Gnutzmann, J. P. Keating, F. Piotet
We investigate the spatial statistics of the energy eigenfunctions on large quantum graphs. It has previously been conjectured that these should be described by a Gaussian Random W…
Localised eigenfunctions in Seba billiards
J. P. Keating, J. Marklof, B. Winn
We describe some new families of quasimodes for the Laplacian perturbed by the addition of a potential formally described by a Dirac delta function. As an application we find, unde…
Quantum ergodicity on graphs
S. Gnutzmann, J. P. Keating, F. Piotet
We investigate the equidistribution of the eigenfunctions on quantum graphs in the high-energy limit. Our main result is an estimate of the deviations from equidistribution for lar…
Singularity dominated strong fluctuations for some random matrix averages
P. J. Forrester, J. P. Keating
The circular and Jacobi ensembles of random matrices have their eigenvalue support on the unit circle of the complex plane and the interval of the real line respectively. T…