Francesco Grotto

Research

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. I have also been interested in limit theorems for local functionals of Gaussian fields, and more recently in disordered systems and matching problems.

All my publications are available on arXiv; see also my ORCiD page.

Selected publications

2020–2026
  1. 2026+

    Anomalous Regularization in Kazantsev-Kraichnan Model

    With Marco Bagnara and Mario Maurelli

    Communications in Mathematical Physics · To appear (2026+)

    arXiv:2411.09482
  2. 2026
  3. 2024

    Gibbs Equilibrium Fluctuations of Point Vortex Dynamics

    With Eliseo Luongo and Marco Romito

    Annals of Applied Probability 34(6) (2024)

    doi:10.1214/24-AAP2095
  4. 2024

    Random Splitting of Point Vortex Flows

    With Andrea Agazzi and Jonathan Mattingly

    Electronic Communications in Probability 29 (2024)

    doi:10.1214/24-ECP594
  5. 2024
  6. 2022

    Infinitesimal Invariance of Completely Random Measures for 2D Euler Equations

    With Giovanni Peccati (thanks to whom my Erdős number is 3)

    Theory of Probability and Mathematical Statistics 107 (2022), 15–35

    doi:10.1090/tpms/1178
  7. 2022

    Burst of Point Vortices and Non-Uniqueness of 2D Euler Equations

    With Umberto Pappalettera

    Archive for Rational Mechanics and Analysis (2022), 89–125

    doi:10.1007/s00205-022-01784-2
  8. 2020
  9. 2020
  10. 2020

Recent preprints

On arXiv

Seminars and 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.

Pisa-Berna Workshop

Negative Inverse Temperatures in 2D Fluid Mechanics

Pisa,

Slides PDF

INdAM workshop

Analysis and Geometry of Random Fields

Together with Anna Paola Todino, I organized this workshop, held in Rome on –.