Author

Hugo Lavenant

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Preprint Oct 2026

Approximation and computation of the geodesic Sinkhorn distance

In [H. Lavenant, J. Luckhardt, G. Mordant, B. Schmitzer, L. Tamanini, The Riemannian geometry of Sinkhorn divergences. Ann. Inst. H. Poincar\'e Anal. Non Lin\'eaire 43 (2026)] we introduced a Riemannian metric $\mathsf{d}_S$ on the space of probability distributions obtained from entropic optimal transport, specificall...

Hugo Lavenant, Jonas Luckhardt, Bernhard Schmitzer · 0 citations

Preprint Sep 2026

Semilinear Neumann boundary value problems for measure-valued maps

We study the Wasserstein lift of nonlinear Poisson systems with inhomogeneous Neumann boundary conditions. We establish the existence of minimizers using new estimates involving the $p$-moments of measure-valued traces. We also derive the optimality conditions, which turn out to be matrix-valued generalizations of pres...

Aleksei Kroshnin, Hugo Lavenant, D. Vorotnikov · 0 citations