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math.AP2025
Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds
Anna Shalova, André Schlichting
We study stationary solutions of McKean-Vlasov equation on a high-dimensional sphere and other compact Riemannian manifolds. We extend the equivalence of the energetic problem form…
math.AP2025
Diffusive transport on the real line: semi-contractive gradient flows and their discretization
Daniel Matthes, Eva-Maria Rott, André Schlichting
The diffusive transport distance, a novel pseudo-metric between probability measures on the real line, is introduced. It generalizes Martingale optimal transport, and forms a hiera…