Research

Research interests: random fields, limit theorems for functionals of random fields, Malliavin calculus, Stein’s method, Fourier analysis, random waves, spectral representations, random nodal domains, neural networks, random manifolds, percolation for random level sets.

Papers/pre-prints:

9. Spectral delocalization and central limit theorems for Fourier functionals of stationary Gaussian fields (2026+), preprint.

8. Phase transitions in the fluctuations of functionals of random neural networks (2026+) (with S. Di Lillo and D. Marinucci), preprint.

7. Limit theorems for anisotropic functionals of stationary Gaussian fields with Gneiting covariance function (2026+) (with  N. Leonenko, I. Nourdin and F. Pistolato),  preprint.

6. Malliavin differentiability for the excursion measure of a Gaussian field (2027), contribution for the INDAM volume “Analysis and Geometry of Random Fields”. 

5.  Almost sure central limit theorems via chaos expansions and related results (2026) (with M. Rossi and G. Zheng), to appear in Trans. Amer. Math. Soc. .

4.  Limit theorems for p-domain functionals of stationary Gaussian fields (2024) (with  N. Leonenko, I. Nourdin and F. Pistolato),  Electron. J. Probab., 29: 1-33.

3. Asymptotic covariances for functionals of weakly stationary random fields (2024), Stoch. Proc. Appl., 170, paper no. 104297.

2. Fluctuations of Polyspectra in Spherical and Euclidean Random Wave Models (2024) (with F. Grotto and A. P. Todino), Electron. Comm. Probab., 29, 1-12

1. Spectral central limit theorem for additive functionals of isotropic and stationary Gaussian fields (2024) (with I. Nourdin), Ann. Probab. 52(2), 737-763