33 citations · 58 across the 8 of their papers we have counts for
3 papers · 1 filter
New estimates on the regularity of the pressure in density-constrained Mean Field Games
Hugo Lavenant, Filippo Santambrogio
We consider variational Mean Field Games endowed with a constraint on the maximal density of the distribution of players. Minimizers of the variational formulation are equilibria f…
Dynamical Optimal Transport on Discrete Surfaces
Hugo Lavenant, Sebastian Claici, Edward Chien +1
We propose a technique for interpolating between probability distributions on discrete surfaces, based on the theory of optimal transport. Unlike previous attempts that use linear…
Total Variation Isoperimetric Profiles
Daryl DeFord, Hugo Lavenant, Zachary Schutzman +1
Applications such as political redistricting demand quantitative measures of geometric compactness to distinguish between simple and contorted shapes. While the isoperimetric quoti…