Proves ASCLTs for Gaussian field integrals via chaos expansions, establishes Malliavin differentiability for Berry wave excursions, and confirms exact asymptotics for Bessel function moments.
Smutek, Fluctuations of the Nodal Number in the Two-Energy Planar Be rry Random Wave Model , arXiv:2402.18219 [math.PR]
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Almost sure central limit theorems via chaos expansions and related results
Proves ASCLTs for Gaussian field integrals via chaos expansions, establishes Malliavin differentiability for Berry wave excursions, and confirms exact asymptotics for Bessel function moments.