5 citations · 10 across the 8 of their papers we have counts for
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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…
Unextendable intrinsic Lipschitz curves
Gioacchino Antonelli, Andrea Merlo
In the setting of Carnot groups, we exhibit examples of intrinisc Lipschitz curves of positive -measure that intersect every connected intrinsic Lipschitz curve in a…
Proof of concept of a fast surrogate model of the VMEC code via neural networks in Wendelstein 7-X scenarios
Andrea Merlo, Daniel Böckenhoff, Jonathan Schilling +7
In magnetic confinement fusion research, the achievement of high plasma pressure is key to reaching the goal of net energy production. The magnetohydrodynamic (MHD) model is used t…
Endpoint Fourier restriction and unrectifiability
Giacomo Del Nin, Andrea Merlo
We show that if a measure of dimension on admits Fourier restriction for some endpoint exponents allowed by its dimension, namely for…
On rectifiable measures in Carnot groups: representation
Gioacchino Antonelli, Andrea Merlo
This paper deals with the theory of rectifiability in arbitrary Carnot groups, and in particular with the study of the notion of -rectifiable measure. First, we show t…