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math.PR2023
Asymptotic covariances for functionals of weakly stationary random fields
Leonardo Maini
Let be a locally integrable, centered, weakly stationary random field, i.e. , , $\forall x,y\in\mathbb{R}^d…
math.PR2023
Fluctuations of Polyspectra in Spherical and Euclidean Random Wave Models
Francesco Grotto, Leonardo Maini, Anna Paola Todino
We consider polynomial transforms (polyspectra) of Berry's model -- the Euclidean Random Wave model -- and of Random Hyperspherical Harmonics. We determine the asymptotic behavior…