Proves a quantitative central limit theorem for spatial averages of solutions to the stochastic nonlinear wave equation with Lipschitz multiplicative Lévy white noise.
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Proves ASCLTs for Gaussian field integrals via chaos expansions, establishes Malliavin differentiability for Berry wave excursions, and confirms exact asymptotics for Bessel function moments.
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Central limit theorem for stochastic nonlinear wave equation with pure-jump L\'evy white noise
Proves a quantitative central limit theorem for spatial averages of solutions to the stochastic nonlinear wave equation with Lipschitz multiplicative Lévy white noise.
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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.