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math.PR2025
Malliavin differentiability for the excursion measure of a Gaussian field
Leonardo Maini
In this work, we investigate the Malliavin differentiability of the excursion volume of a Gaussian field. In particular, we prove that if the moments of the covariance kernel go to…
math.PR2025
Almost sure central limit theorems via chaos expansions and related results
Leonardo Maini, Maurizia Rossi, Guangqu Zheng
In this work, we investigate the asymptotic behavior of integral functionals of stationary Gaussian random fields as the integration domain tends to be the whole space. More precis…