2 papers
math.MG2025
Stability of optimal transport maps on Riemannian manifolds
Jun Kitagawa, Cyril Letrouit, Quentin Mérigot
We prove quantitative bounds on the stability of optimal transport maps and Kantorovich potentials from a fixed source measure under variations of the target measure , when…
math.NA2016
Convergence of a Newton algorithm for semi-discrete optimal transport
Jun Kitagawa, Quentin Mérigot, Boris Thibert
Many problems in geometric optics or convex geometry can be recast as optimal transport problems: this includes the far-field reflector problem, Alexandrov's curvature prescription…