Postal Address: Dipartimento di Matematica, Largo Bruno Pontecorvo 5, 56127 Pisa, Italia Email: francesco.grotto at unipi.it DISAMBIGUATION: a friend and former colleague of mine has the same name as me, Francesco Grotto; we both have been students of Scuola Normale Superiore, but he is a scholar in classical studies. Teaching (Italian) Informazioni e materiale didattico aggiornati sono disponibili sui canali Teams dei relativi corsi, in questo momento sono attivi Istituzioni di Probabilità (CdL Matematica) e Istituzioni di Matematica (CdL Chimica Industriale e per l'Ambiente). 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. Scientific Interests My research activity mostly focuses on applications of Probability Theory and Stochastic Analysis to 2D 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 Among my recent preprints: Anomalous Regularization in Kazantsev-Kraichnan Model with Marco Bagnara and Mario Maurelli. The Missing Central Limit Theorems for Local Functionals of Berry's Random Wave Model. Fluctuations of Point Vortex Ensembles at Small Negative Inverse Temperature. 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. |
