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math.CA2021
Characterization of rectifiability via Lusin type approximation
Andrea Marchese, Andrea Merlo
We prove that a Radon measure on can be written as , where each of the is an -dimensional rectifiable measure if and only if for ever…
math.AP2021
Area minimizing hypersurfaces modulo : a geometric free-boundary problem
Camillo De Lellis, Jonas Hirsch, Andrea Marchese +2
We consider area minimizing -dimensional currents in complete Riemannian manifolds of dimension . For odd moduli we prove that, away from a clos…