3 papers
math.OC2026
Dynamical Optimal Transport with -Invariance: From Theory to Computation
Kevine Meugang Toukam, Max von Renesse, Johannes Storn
We introduce a modified Benamou--Brenier (MBB) formulation of optimal transport that incorporates Euclidean invariance at the dynamical level. We establish existence of minimizers…
math.PR2024
A Central Limit Theorem for Modified Massive Arratia Flow
Andrey Dorogovtsev, Vitalii Konarovskyi, Max von Renesse
The modified massive Arratia flow is a model for the dynamics of passive particle clusters moving in a random fluid that accounts for the effects of mass aggregation. We show a cen…
math.PR2024
Functional Inequalities for Brownian Motion on Riemannian Manifolds with Sticky-Reflecting Boundary Diffusion
Marie Bormann, Max von Renesse, Feng-Yu Wang
We prove geometric upper bounds for the Poincaré and Logarithmic Sobolev constants for Brownian motion on manifolds with sticky reflecting boundary diffusion i.e. extended Wentzell…