Proves ASCLTs for Gaussian field integrals via chaos expansions, establishes Malliavin differentiability for Berry wave excursions, and confirms exact asymptotics for Bessel function moments.
L´ evy, Th´ eorie de l’addition des variables al´ eatoires, 2nd edition, Paris, Gauthier-Villars
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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.