2 citations · 3 across the 8 of their papers we have counts for
8 papers
Phase Transitions in the Fluctuations of Functionals of Random Neural Networks
Simmaco Di Lillo, Leonardo Maini, Domenico Marinucci
We establish central and non-central limit theorems for sequences of functionals of the Gaussian output of an infinitely-wide random neural network on the d-dimensional sphere . We…
Limit theorems for anisotropic functionals of stationary Gaussian fields with Gneiting covariance function
Nikolai Leonenko, Leonardo Maini, Ivan Nourdin +1
We study non-linear additive functionals of stationary Gaussian fields over anisotropically growing domains in , including spatiotemporal settings, and establish Gaus…
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…
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…
Limit theorems for -domain functionals of stationary Gaussian fields
Nikolai Leonenko, Leonardo Maini, Ivan Nourdin +1
Fix an integer and refer to it as the number of growing domains. For each , fix a compact subset where $d_1,\ldots,d_p\g…
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…
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…
Spectral central limit theorem for additive functionals of isotropic and stationary Gaussian fields
Leonardo Maini, Ivan Nourdin
Let be a collection of random variables forming a real-valued continuous stationary Gaussian field on , and set $C(x-y)=\mathbb{…