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math.AP2022
Evolutionary Variational Inequalities on the Hellinger-Kantorovich and Spherical Hellinger-Kantorovich spaces
Vaios Laschos, Alexander Mielke
We study the minimizing movement scheme for families of geodesically semi-convex functionals defined on either the Hellinger-Kantorovich or the Spherical Hellinger-Kantorovich spac…
math.AP2012★ 2 cited
Wasserstein gradient flows from large deviations of thermodynamic limits
Manh Hong Duong, Vaios Laschos, Michiel Renger
We study the Fokker-Planck equation as the hydrodynamic limit of a stochastic particle system on one hand and as a Wasserstein gradient flow on the other. We write the rate functio…