[lavenant]

Assistant Professor, Bocconi University, Milan, Italy

**Email:** *hugo.lavenant AT unibocconi.it*

- H. Lavenant - J. Luckhardt - G. Mordant - B. Schmitzer - L. Tamanini (preprint)

The Riemannian geometry of Sinkhorn divergences (2024) - H. Lavenant (Preprint)

Lifting functionals defined on maps to measure-valued maps via optimal transport (2023) - S. Ishida - H. Lavenant (preprint)

Quantitative convergence of a discretization of dynamic optimal transport using the dual formulation (2023) - H. Lavenant - F. Santambrogio (Accepted Paper:
*Applied Mathematics Letters*)

The flow map of the Fokker-Planck equation does not provide optimal transport (2022) - H. Lavenant - L. Monsaingeon - L. Tamanini - D. Vorotnikov (Submitted Paper)

Convex functions defined on metric spaces are pulled back to subharmonic ones by harmonic maps (2021) - H. Lavenant - S. Zhang - Y. H. Kim - G. Schiebinger (Accepted Paper:
*Annals of Applied Probability*)

Towards a mathematical theory of trajectory inference (2021) - A. Baradat - H. Lavenant (Accepted Paper:
*AstÃ©risque*)

Regularized unbalanced optimal transport as entropy minimization with respect to branching Brownian motion (2021) - N. Ghoussoub - Y. H. Kim - H. Lavenant - A. Z. Palmer (Accepted Paper:
*SIAM Journal on Mathematical Analysis*)

Hidden convexity in a problem of nonlinear elasticity (2020) - H. Lavenant (Phd Thesis)

Optimal curves and mappings valued in the Wasserstein space (2019) - H. Lavenant (Accepted Paper:
*Mathematics of Computation*)

Unconditional convergence for discretizations of dynamical optimal transport (2019) - H. Lavenant - F. Santambrogio (Accepted Paper:
*Journal of the London Mathematical Society*)

New estimates on the regularity of the pressure in density-constrained Mean Field Games (2018) - H. Lavenant (Accepted Paper:
*Calculus of Variations and Partial Differential Equations*)

Time-convexity of the entropy in the multiphasic formulation of the incompressible Euler equation (2017) - H. Lavenant (Accepted Paper:
*Journal of Functional Analysis*)

Harmonic mappings valued in the Wasserstein space (2017) - H. Lavenant - F. Santambrogio (Accepted Paper:
*Communications in Partial Differential Equations*)

Optimal density evolution with congestion: $L^\infty$ bounds via flow interchange techniques and applications to variational Mean Field Games (2017)

*17 jul 2023 - 21 jul 2023:*LMS Invited Lecture Series @ Durham (given by F. Santambrogio)