A. Merlo

activity

20192023

most citedProof of concept of a fast surrogate model of the VMEC code via neural networks in Wendelstein 7-X scenarios

17 citations · 51 across the 15 of their papers we have counts for

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Showing 2020Show all

3 papers · 1 filter

math.MG2020

On rectifiable measures in Carnot groups: existence of density

Gioacchino Antonelli, Andrea Merlo

In this paper we start a detailed study of a new notion of rectifiability in Carnot groups: we say that a Radon measure is $P_{h}$ -rectifiable, for $h \in N$ , if it h…

math.MG2020★ 12 cited

Marstrand-Mattila rectifiability criterion for $1$ -codimensional measures in Carnot Groups

Andrea Merlo

This paper is devoted to show that the flatness of tangents of $1$ -codimensional measures in Carnot Groups implies $C_{G}^{1}$ -rectifiability. As applications we prove that me…

math.MG2020

Intrinsically Lipschitz functions with normal target in Carnot groups

Gioacchino Antonelli, Andrea Merlo

We provide a Rademacher theorem for intrinsically Lipschitz functions $ϕ : U \subseteq W \to L$ , where $U$ is a Borel set, $W$ and $L$ are complementary…

On rectifiable measures in Carnot groups: existence of density

Marstrand-Mattila rectifiability criterion for 1-codimensional measures in Carnot Groups

Intrinsically Lipschitz functions with normal target in Carnot groups

Marstrand-Mattila rectifiability criterion for $1$ -codimensional measures in Carnot Groups