59 citations · 291 across the 11 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…
No quantum ergodicity for star graphs
G. Berkolaiko, J. P. Keating, B. Winn
We investigate statistical properties of the eigenfunctions of the Schrodinger operator on families of star graphs with incommensurate bond lengths. We show that these eigenfunctio…
Value distribution of the eigenfunctions and spectral determinants of quantum star graphs
J. P. Keating, J. Marklof, B. Winn
We compute the value distributions of the eigenfunctions and spectral determinant of the Schrodinger operator on families of star graphs. The values of the spectral determinant are…