189 citations · 290 across the 7 of their papers we have counts for
3 papers · 1 filter
Optimal transport in competition with reaction: the Hellinger-Kantorovich distance and geodesic curves
Matthias Liero, Alexander Mielke, Giuseppe Savaré
We discuss a new notion of distance on the space of finite and nonnegative measures which can be seen as a generalization of the well-known Kantorovich-Wasserstein distance. The ne…
Optimal Entropy-Transport problems and a new Hellinger-Kantorovich distance between positive measures
Matthias Liero, Alexander Mielke, Giuseppe Savaré
We develop a full theory for the new class of Optimal Entropy-Transport problems between nonnegative and finite Radon measures in general topological spaces. They arise quite natur…
On microscopic origins of generalized gradient structures
Matthias Liero, Alexander Mielke, Mark A. Peletier +1
Classical gradient systems have a linear relation between rates and driving forces. In generalized gradient systems we allow for arbitrary relations derived from general non-quadra…