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
Annals of Applied Probability (Accepted Paper) http://arxiv.org/abs/2102.09204 2021

A. Baradat, H. Lavenant:
Regularized unbalanced optimal transport as entropy minimization with  respect to branching Brownian motion
Astérisque (Accepted Paper) http://arxiv.org/abs/2111.01666 2021

H. Lavenant, F. Santambrogio:
The flow map of the Fokker-Planck equation does not provide optimal transport
Applied Mathematics Letters (Accepted Paper) 2022

H. Lavenant:
Lifting functionals defined on maps to measure-valued maps via optimal transport
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (Accepted Paper) http://arxiv.org/abs/2309.02260 2023

S. Ishida, H. Lavenant:
Quantitative convergence of a discretization of dynamic optimal  transport using the dual formulation
Foundations of computational mathematics (Accepted Paper) http://arxiv.org/abs/2312.12213 2023

H. Lavenant, J. Luckhardt, G. Mordant, B. Schmitzer, L. Tamanini:
The Riemannian geometry of Sinkhorn divergences
(preprint) http://arxiv.org/abs/2405.04987 2024

H. Lavenant, L. Monsaingeon, L. Tamanini, D. Vorotnikov:
Convex functions defined on metric spaces are pulled back to subharmonic ones by harmonic maps
Calculus of Variations and Partial Differential Equations 2024