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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…
math.PR2023
Nonlinear Functionals of Hyperbolic Random Waves: the Wiener Chaos Approach
Francesco Grotto, Giovanni Peccati
We consider Gaussian random waves on hyperbolic spaces and establish variance asymptotics and central limit theorems for a large class of their integral functionals, both in the hi…