Assistant Professor, Bocconi University, Milan, Italy

Email: hugo.lavenant AT unibocconi.it

Available papers (13):

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• 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: Astérisque)
  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)

Speaker:

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