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math.NA2026
Approximation and computation of the geodesic Sinkhorn distance
Hugo Lavenant, Jonas Luckhardt, Bernhard Schmitzer
In [H. Lavenant, J. Luckhardt, G. Mordant, B. Schmitzer, L. Tamanini, The Riemannian geometry of Sinkhorn divergences. Ann. Inst. H. Poincaré Anal. Non Linéaire 43 (2026)] we intro…
math.AP2026
Semilinear Neumann boundary value problems for measure-valued maps
Aleksei Kroshnin, Hugo Lavenant, Dmitry Vorotnikov
We study the Wasserstein lift of nonlinear Poisson systems with inhomogeneous Neumann boundary conditions. We establish the existence of minimizers using new estimates involving th…