ad-regular measures 1alberti representations 1decomposability bundle 1lipschitz functions 1uniform rectifiability 1weak affine approximation 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.MG2026
On the WALA conjecture, Alberti representations and applications
Andrea Merlo
The paper proves the WALA conjecture, showing that any AD‑regular Radon measure whose Lipschitz functions satisfy a weak affine approximation condition is uniformly rectifiable, an…
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.