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. 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 Among my recent preprints: Anomalous Regularization in Kraichnan's Passive Scalar Model with Lucio Galeati and Mario Maurelli, Anomalous Regularization in Kazantsev-Kraichnan Model with Marco Bagnara and Mario Maurelli. Organization of Events I am an organizer of the Seminars on Probability, Statistics and Stochastic Analysis of University of Pisa, Scuola Normale Superiore, University of Firenze and University of Siena.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. |
