35 citations · 35 across the 3 of their papers we have counts for
3 papers
math.PR2020
Effective bounds for monochromatic connectivity measures in two dimensions
Matthew de Courcy-Ireland, Suresh Eswarathasan
We establish numerical lower bounds for the monochromatic connectivity measure in two dimensions introduced by Sarnak and Wigman. This measure dictates among the nodal domains of a…
math.PR2019
A central limit theorem for integrals of random waves
Matthew de Courcy-Ireland, Marius Lemm
We derive a central limit theorem for the mean-square of random waves in the high-frequency limit over shrinking sets. Our proof applies to any compact Riemannian manifold of arbit…
math.NT2018★ 35 cited
Hidden Multiscale Order in the Primes
Salvatore Torquato, Ge Zhang, Matthew De Courcy-Ireland
We study the {pair correlations between} prime numbers in an interval with , . By analyzing the \emph{structure fa…