1 citations · 1 across the 2 of their papers we have counts for
7 papers
Convex functions defined on metric spaces are pulled back to subharmonic ones by harmonic maps
Hugo Lavenant, Léonard Monsaingeon, Luca Tamanini +1
If is a harmonic map valued in a metric space and is a convex function, in the sense that it ge…
Hidden convexity in a problem of nonlinear elasticity
Nassif Ghoussoub, Young-Heon Kim, Hugo Lavenant +1
We study compressible and incompressible nonlinear elasticity variational problems in a general context. Our main result gives a sufficient condition for an equilibrium to be a glo…
Unconditional convergence for discretizations of dynamical optimal transport
Hugo Lavenant
The dynamical formulation of optimal transport, also known as Benamou-Brenier formulation or Computational Fluid Dynamics formulation, amounts to write the optimal transport proble…
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…