Andrea Merlo

collaborators

3 papers

cs.LG2025

ConStellaration: A dataset of QI-like stellarator plasma boundaries and optimization benchmarks

Santiago A. Cadena, Andrea Merlo, Emanuel Laude +8

Stellarators are magnetic confinement devices under active development to deliver steady-state carbon-free fusion energy. Their design involves a high-dimensional, constrained opti…

math.CA2025

Marstrand's density theorem for arbitrary norms in the plane

Giacomo Del Nin, Andrea Merlo

We show that if a non-trivial measure in the plane admits, at almost every point, positive and finite $I^\pm$ -dimensional density with respect to some norm, then $I^\pm$ must be an integ…

math.AP2025

Layer potentials for elliptic operators with DMO-type coefficients: big pieces $T b$ theorem, quantitative rectifiability, and free boundary problems

Andrea Merlo, Mihalis Mourgoglou, Carmelo Puliatti

For $n \geq 2$ , we consider the operator $L_{A} = - div (A (\cdot) \nabla)$ , where $A$ is a uniformly elliptic $(n + 1) \times (n + 1)$ matrix with variable coefficients, a Radon mea…

ConStellaration: A dataset of QI-like stellarator plasma boundaries and optimization benchmarks

Marstrand's density theorem for arbitrary norms in the plane

Layer potentials for elliptic operators with DMO-type coefficients: big pieces Tb theorem, quantitative rectifiability, and free boundary problems

Layer potentials for elliptic operators with DMO-type coefficients: big pieces $T b$ theorem, quantitative rectifiability, and free boundary problems