Matthew de Courcy-Ireland

collaborators

2 papers

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

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 $M \leq p \leq M + L$ with $M \to \infty$ , $L / M \to β > 0$ . By analyzing the \emph{structure fa…