Loading...
report
A central limit theorem for integrals of random waves
March 15, 2019
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 arbitrary dimension, thanks to the universality of the local Weyl law. The key technical step is an estimate capturing some cancellation in a triple integral of Bessel functions, which we achieve using Gegenbauer's addition formula.
Type
report
Authors
Publication date
2019-03-15
EPFL units
Available on Infoscience
October 1, 2020
Use this identifier to reference this record