Proves ASCLTs for Gaussian field integrals via chaos expansions, establishes Malliavin differentiability for Berry wave excursions, and confirms exact asymptotics for Bessel function moments.
Zheng, Multi-dimensional Malliavin-Stein method on the Poisson s pace and its applications to limit theorems (PhD dissertation), Universit´ e Pierre et Marie Curie, Par is VI, 2011
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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.