Main interests

Probability Theory and Mathematical Statistics. In particular:

• Probabilistic approximations via Stein-Malliavin techniques and related methods (see this webpage by Prof. Ivan Nourdin)

• Geometric properties of random fields on manifolds 

• Statistical properties of time dependent random fields on the sphere

Preprints

• G. Ascione, A. Vidotto. Time Changed Spherical Brownian Motions with Longitudinal Drifts, preprint arXiv:2403.05202, 2024

• A. Caponera, D. Marinucci, A. Vidotto. MultiScale CUSUM Tests for Time-Dependent Spherical Random Fields, preprint arXiv:2305.01392, 2023

Publications

• D. Marinucci, M. Rossi, A. Vidotto. Fluctuations of Level Curves for Time-Dependent Spherical Random Fields, preprint arXiv:2207.13028, 2022+ (to appear on Annales Henri Lebesgue)

• C. Macci, M. Rossi, A. Vidotto. Non-Universal Moderate Deviation Principle for the Nodal Length of Arithmetic Random Waves, preprint arXiv:2206.15108, 2022+ (to appear on Latin American Journal of Probability and Mathematical Statistics)

• M. Notarnicola, G. Peccati, A. Vidotto. Functional Convergence of Berry's Nodal Lengths: Approximate Tightness and Total Disorder, Journal of Statistical Physics 190, Article number: 97, 2023

• A. Vidotto. Random Lipschitz-Killing Curvatures: Reduction Principles, Integration By Parts And Wiener Chaos, Special issue on the Theory and Applications of Random Fields dedicated to the 90th birthday of Professor M. Yadrenko, Journal: Theory of Probability and Mathematical Statistics, vol. 106, 157-175, 2022

• D. Marinucci, M. Rossi, A. Vidotto. Non-Universal Fluctuations of the Empirical Measure for Isotropic Stationary Fields on S^2 x  R, The Annals of Applied Probability, vol. 31, no. 5, 2311-2349, 2021

• A. Caponera, C. Durastanti, A. Vidotto. LASSO estimation for spherical autoregressive processes, Stochastic Processes and their Applications, vol. 137, 167-199, July 2021

• A. Vidotto. A Note on the Reduction Principle for the Nodal Length of Planar Random Waves, Statistics and Probability Letters, volume 174, July 2021

• G. Peccati, A. Vidotto.  Gaussian Random Measures Generated by Berry's Nodal Sets,  Journal of Statistical Physics 2020, vol. 178, no. 4, 996-1027

• A. Vidotto.  An improved second order Poincaré inequality for functionals of Gaussian fields,  Journal of Theoretical Probability 2020, vol. 33, no. 1, 396-427 (see the auxiliary file: Appendix A)

• C. Döbler, A. Vidotto, G. Zheng. Fourth moment theorems on the Poisson space in any dimension, Electronic Journal of Probability 2018, vol. 23, paper no. 36, 1-27