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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…