H. Lavenant:
Time-convexity of the entropy in the multiphasic formulation of the incompressible Euler equation
Calculus of Variations and Partial Differential Equations (Accepted Paper) 2017
H. Lavenant:
Harmonic mappings valued in the Wasserstein space
Journal of Functional Analysis (Accepted Paper) 2017
H. Lavenant, F. Santambrogio:
Optimal density evolution with congestion: $L^\infty$ bounds via flow interchange techniques and applications to variational Mean Field Games
Communications in Partial Differential Equations (Accepted Paper) 2017
H. Lavenant, F. Santambrogio:
New estimates on the regularity of the pressure in density-constrained Mean Field Games
Journal of the London Mathematical Society (Accepted Paper) 2018
H. Lavenant:
Optimal curves and mappings valued in the Wasserstein space
(Phd Thesis) 2019
H. Lavenant:
Unconditional convergence for discretizations of dynamical optimal transport
Mathematics of Computation (Accepted Paper) 2019
N. Ghoussoub, Y. H. Kim, H. Lavenant, A. Z. Palmer:
Hidden convexity in a problem of nonlinear elasticity
SIAM Journal on Mathematical Analysis (Accepted Paper) 2020
Y. H. Kim, H. Lavenant, G. Schiebinger, S. Zhang:
Towards a mathematical theory of trajectory inference
(Submitted Paper) 2021
H. Lavenant, L. Monsaingeon, L. Tamanini, D. Vorotnikov:
Convex functions defined on metric spaces are pulled back to subharmonic ones by harmonic maps
(Submitted Paper) 2021