1 citations · 1 across the 6 of their papers we have counts for
6 papers
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…
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…
Asymptotics for Optimal Empirical Quantization of Measures
Filippo Quattrocchi
We investigate the minimal error in approximating a general probability measure on by the uniform measure on a finite set with prescribed cardinality . The er…
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 with general -- strictly positive an…
Discrete-to-continuum limits of optimal transport with linear growth on periodic graphs
Lorenzo Portinale, Filippo Quattrocchi
We prove discrete-to-continuum convergence for dynamical optimal transport on -periodic graphs with energy density having linear growth at infinity. This result provi…
Polychromatic Partitions, Kingman Theory, and Ewens Sampling Formula
Lorenzo Dello Schiavo, Filippo Quattrocchi
A polychromatic partition is a partition of a set of colored (marked) elements in which each block is recorded only by the number of elements of each color in that block. We introd…