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math.AP2025
A PDE perspective on the flat chain conjecture
Andrea Marchese
This survey summarizes recent progress on the flat chain conjecture, which asserts the equivalence between metric currents and flat chains with finite mass in the Euclidean space.…
math.AP2025
Variational models of robust optimal transport
Luigi De Masi, Andrea Marchese, Annalisa Massaccesi
This paper introduces two variational formulations for a model of robust optimal transport, that is, the problem of designing optimal transport networks that are resilient to poten…