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math.AP2022
Generic uniqueness of optimal transportation networks
Gianmarco Caldini, Andrea Marchese, Simone Steinbrüchel
We prove that for the generic boundary, in the sense of Baire categories, there exists a unique minimizer of the associated optimal branched transportation problem.
math.AP2022★ 4 cited
Fine structure of the singular set of area minimizing hypersurfaces modulo
Camillo De Lellis, Jonas Hirsch, Andrea Marchese +2
Consider an area minimizing current modulo of dimension in a smooth Riemannian manifold of dimension . We prove that its interior singular set is, up to a relatively c…