68 citations · 321 across the 52 of their papers we have counts for
4 papers · 2 filters
A Cucker-Smale inspired deterministic mean field game with velocity interactions
Filippo Santambrogio, Woojoo Shim
We introduce a mean field game model for pedestrians moving in a given domain and choosing their trajectories so as to minimize a cost including a penalization on the difference be…
q-Moment Measures and Applications: A New Approach via Optimal Transport
Huynh Khanh, Filippo Santambrogio
In 2017, Bo'az Klartag obtained a new result in differential geometry on the existence of affine hemisphere of elliptic type. In his approach, a surface is associated with every a…
Lipschitz estimates on the JKO scheme for the Fokker-Plack equation on bounded convex domains
Vincent Ferrari, Filippo Santambrogio
Given a semi-convex potential V on a convex and bounded domain , we consider the Jordan-Kinderlehrer-Otto scheme for the Fokker-Planck equation with potential V, which defines,…
Second order local minimal-time Mean Field Games
Romain Ducasse, Guilherme Mazanti, Filippo Santambrogio
The paper considers a forward-backward system of parabolic PDEs arising in a Mean Field Game (MFG) model where every agent controls the drift of a trajectory subject to Brownian di…