Teaching (Italian) Informazioni e materiale didattico aggiornati sono disponibili sui canali Teams dei relativi corsi, nell'a.a. sono attivi Istituzioni di Probabilità (CdL Matematica) e Statistica Matematica (CdL Matematica). Le dispense del corso di Statistica (CdL Informatica a.a. 2022-2024) sono disponibili qui.Le relative pagine web di UniPi permettono di consultare i programmi dei corsi, orari e registri. Il ricevimento è su appuntamento per e-mail, per la posizione dell'ufficio si può ricorrere alla mappa del Dipartimento. Scientific Interests My research activity mostly focuses on applications of Probability Theory and Stochastic Analysis to Fluid Dynamics: I have been working in particular on invariant measures of fluid dynamical (S)PDEs, interacting particle systems (point vortex models) and their scaling limits.All my publications are available on arXiv, below a selection with links to the published versions: Stationary Solutions of Damped Stochastic 2-dimensional Euler's Equation Electronic Journal of Probability (2020), doi:10.1214/20-EJP474 A Central Limit Theorem for Gibbsian Invariant Measures of 2D Euler Equations Joint work with Marco Romito, Communications in Mathematical Physics (2020), doi:10.1007/s00220-020-03724-1 Essential Self-Adjointness of Liouville Operator for 2D Euler Point Vortices Journal of Functional Analysis (2020), doi:10.1016/j.jfa.2020.108635 Burst of Point Vortices and Non-Uniqueness of 2D Euler Equations Joint work with Umberto Pappalettera, Archive for Rational Mechanics and Analysis (2022): 89-125, doi:10.1007/s00205-022-01784-2 Zero-noise dynamics after collapse for three point vortices Joint work with Marco Romito and Milo Viviani, Physica D: Nonlinear Phenomena 457 (2024), doi:10.1016/j.physd.2023.133947 Random Splitting of Point Vortex Flows Joint work with Andrea Agazzi and Jonathan Mattingly, Electronic Communications in Probability 29 (2024), doi:10.1214/24-ECP594 Gibbs Equilibrium Fluctuations of Point Vortex Dynamics Joint work with Eliseo Luongo and Marco Romito, Annals of Applied Probability 34(6) (2024), doi:10.1214/24-AAP2095 Anomalous Regularization in Kraichnan's Passive Scalar Model Joint work with Lucio Galeati and Mario Maurelli, Probab. Theory Relat. Fields (2026), doi:10.1007/s00440-026-01496-8 Anomalous Regularization in Kazantsev-Kraichnan Model Joint work with Marco Bagnara and Mario Maurelli, to appear on Communications in Mathematical Physics (2026+), here the arXiv version. Among my recent preprints: The Missing Central Limit Theorems for Local Functionals of Berry's Random Wave Model. Fluctuations of Point Vortex Ensembles at Small Negative Inverse Temperature. An Effective SPDE Model for a Schrödinger Equation with a Fluctuating Magnetic Potential with Franco Flandoli, Reika Fukuizumi and Eliseo Luongo. Exact Asymptotics for the 2D Euclidean Random Matching Problem with Victor Armegioiu, Michael Goldman and Dario Trevisan. Organization of Events I am an organizer of the Seminars on Probability, Statistics and Stochastic Analysis of University of Pisa, Scuola Normale Superiore and University of Firenze.Together with Anna Paola Todino I have organized the INdAM workshop Analysis and Geometry of Random Fields, held in Rome on 4-6th September 2024. |
