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; even if we both have been students of Scuola Normale Superiore, he is a scholar in classical studies. Teaching (Italian) Informazioni e materiale didattico sono disponibili sui canali Teams dei relativi corsi. Le dispense del corso di Statistica (CdL Informatica a.a. 2022-2024) sono disponibili a questo link.Per programmi ed orari delle lezioni si rimanda alla pagina unimap. 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 Infinitesimal Invariance of Completely Random Measures for 2D Euler Equations Joint work with Giovanni Peccati, Theory of Probability and Mathematical Statistics (2021), doi:10.1090/tpms/1178 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. |
