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, 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

H. Lavenant, J. Luckhardt, G. Mordant, B. Schmitzer, L. Tamanini:
The Riemannian geometry of Sinkhorn divergences
Annales Institut Henri Poincaré C Analyse Non Linéaire (Accepted Paper) http://arxiv.org/abs/2405.04987 2024

M. Hardion, H. Lavenant:
Gradient Flows of Potential Energies in the Geometry of Sinkhorn Divergences
(preprint) http://arxiv.org/abs/2511.14278 2025

H. Lavenant, G. Savaré:
Continuous transformations of probability measures and their transport representations
(preprint) http://arxiv.org/abs/2604.16653 2026