44 citations · 145 across the 27 of their papers we have counts for
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math.FA2018
Spherical Hellinger-Kantorovich gradient flows
Stanislav Kondratyev, Dmitry Vorotnikov
We study nonlinear degenerate parabolic equations of Fokker-Planck type which can be viewed as gradient flows with respect to the recently introduced spherical Hellinger-Kantorovic…
math.OC2018
On optimal transport of matrix-valued measures
Yann Brenier, Dmitry Vorotnikov
We suggest a new way of defining optimal transport of positive-semidefinite matrix-valued measures. It is inspired by a recent rendering of the incompressible Euler equations and r…