Dynamical optimal transport on discrete surfaces. - Hugo Lavenant; Sebastian Claici; Edward Chien; Justin Solomon 001 (ACM Trans. Graph., 2018)

New estimates on the regularity of the pressure in density-constrained mean field games. - Hugo Lavenant; Filippo Santambrogio (J. Lond. Math. Soc., 2019)

Total Variation Isoperimetric Profiles. - Daryl R. DeFord; Hugo Lavenant; Zachary Schutzman; Justin Solomon 001 (SIAM J. Appl. Algebra Geom., 2019)

Towards a mathematical theory of trajectory inference. - Hugo Lavenant; Stephen Zhang; Young-Heon Kim; Geoffrey Schiebinger (CoRR, 2021)

Unconditional convergence for discretizations of dynamical optimal transport. - Hugo Lavenant (Math. Comput., 2021)

Hidden Convexity in a Problem of Nonlinear Elasticity. - Nassif Ghoussoub; Young-Heon Kim; Hugo Lavenant; Aaron Zeff Palmer (SIAM J. Math. Anal., 2021)

The flow map of the Fokker-Planck equation does not provide optimal transport. - Hugo Lavenant; Filippo Santambrogio (Appl. Math. Lett., 2022)

Quantitative convergence of a discretization of dynamic optimal transport using the dual formulation. - Sadashige Ishida; Hugo Lavenant (CoRR, 2023)

Hierarchical Integral Probability Metrics: A distance on random probability measures with low sample complexity. - Marta Catalano; Hugo Lavenant (ICML, 2024)

Convergence Rate of Random Scan Coordinate Ascent Variational Inference Under Log-Concavity. - Hugo Lavenant; Giacomo Zanella (SIAM J. Optim., 2024)