Published papers

• Carfagnini, M.; Todino, A. P. Small fluctuations for time-dependent spherical random fields, Electronic Journal of Probability,  30: 1 - 25 (2025).  Article 

• Todino, A. P. No smooth phase transition for the Nodal Length of Band-limited Spherical Random Fields, Stochastic Processes and their Applications, Volume 169, 104273 (2024). Article 

• Grotto, F.; Maini, L.; Todino, A. P. Fluctuations of Polyspectra in Spherical and Euclidean Random Wave Models, Electron. Commun. Probab. 29: 1-12 (2024). Article.

• Bourguin, S.; Durastanti, C.; Marinucci, D.; Todino, A. P. Spherical Poisson Waves, Electronic Journal of Probability, 29, 1–27 (2024). Article.

• Durastanti, C.; Marinucci, D.; Todino, A. P. Flexible-bandwidth Needlets, Bernoulli 2024, Vol. 30, No. 1, 22-45. Article.

• Shevchenko, R.; Todino, A.P. Asymptotic Behaviour of Level Sets of Needlet Random Fields, Stochastic Processes and their Applications, Volume 155, Pages 268-318 (2023). Article 

• Todino, A. P. Limiting Behavior for the Excursion Area of Band-Limited Spherical Random Fields, Electron. Commun. Probab. 27 1 - 12, 2022. Article 

• Cammarota, V.; Todino, A. P. On the Correlation between Critical points and Critical values for Random Spherical Harmonics, Theory of Probability and Mathematical Statistics, 106, 41-62 (2022). Article.

• Macci, C.; Rossi, M.; Todino, A. P. Moderate Deviation estimates for Nodal Lengths of Random Spherical Harmonics, Latin American Journal of Probability and Mathematical Statistics 18, 249–263 (2021). Article 

• Todino, A. P. Nodal Lengths in Shrinking Domains for Random Eigenfunctions on S2, Bernoulli 26 (4), 3081-3110 (2020). Article 

• Fantaye, Y.; Cammarota, V.; Marinucci, D.; Todino, A. P. A Numerical Investigation on the High-Frequency Geometry of Spherical Random Eigenfunctions, High Frequency 2 (3-4), 184-201 (2019). Article 

•  Todino, A. P. A Quantitative Central Limit Theorem for the Excursion Area of Random Spherical Harmonics over Subdomains of S2, J. Math. Phys. 60 (2), 023505 (2019). Article 

Preprints

• Stecconi, M.; Todino, A. P. New chaos decomposition of Gaussian nodal volumes, 2025, Arxiv 

• Di Bernardino, E.; Shevchenko, R.; Todino, A. P. On the Euler-Poincaré Characteristic of the planar Berry’s random wave: fluctuations and a perturbation study, 2024, Arxiv .

• Marinucci, D.; Rossi, M.; Todino, A. P. Laguerre Expansion for Nodal Volumes and Applications, 2023,  Arxiv.

Others

• Local Geometry of Random Spherical Harmonics. PhD thesis (2019). Link.