29 citations · 33 across the 8 of their papers we have counts for
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math.AP2024
A simple proof of the -dimensional flat chain conjecture
Andrea Marchese, Andrea Merlo
We give a new, elementary proof of the fact that metric 1-currents in the Euclidean space correspond to Federer-Fleming flat chains.
math.AP2024
A refined Lusin type theorem for gradients
Luigi De Masi, Andrea Marchese
We prove a refined version of the celebrated Lusin type theorem for gradients by Alberti, stating that any Borel vector field coincides with the gradient of a function $g…
math.AP2014★ 1 cited
Improved estimate of the singular set of Dir-minimizing Q-valued functions via an abstract regularity result
Matteo Focardi, Andrea Marchese, Emanuele Spadaro
In this note we prove an abstract version of a recent quantitative stratifcation priciple introduced by Cheeger and Naber (Invent. Math., 191 (2013), no. 2, 321-339; Comm. Pure App…