Filippo Quattrocchi

activity

20242026

collaborators

4 papers

math.AP2026

Nonlinear kinetic Fokker-Planck equations as gradient flows of the free energy

Giovanni Brigati, Guillaume Carlier, Jean Dolbeault +1

We consider nonhomogeneous kinetic equations that involve a free transport operator and a diffusion of porous medium type acting on velocities. The main novelty is a gradient flow…

math.AP2025

Variational structures for the Fokker--Planck equation with general Dirichlet boundary conditions

Filippo Quattrocchi

We prove the convergence of a modified Jordan--Kinderlehrer--Otto scheme to a solution to the Fokker--Planck equation in $I^c ◯ ⋐ R^{d}$ with general -- strictly positive a…

math.AP2025

Kinetic Optimal Transport (OTIKIN) -- Part 1: Second-Order Discrepancies Between Probability Measures

Giovanni Brigati, Jan Maas, Filippo Quattrocchi

This is the first part of a general description in terms of mass transport for time-evolving interacting particles systems, at a mesoscopic level. Beyond kinetic theory, our framew…

math.PR2024

Asymptotics for Optimal Empirical Quantization of Measures

Filippo Quattrocchi

We investigate the minimal error in approximating a general probability measure $I^¼$ on $R^{d}$ by the uniform measure on a finite set with prescribed cardinality $n$ . The e…