On the WALA conjecture, Alberti representations and applications
Metric Geometry
2026-05-29 v1 Analysis of PDEs
Classical Analysis and ODEs
Functional Analysis
Abstract
In this paper we prove the WALA conjecture.
Cite
@article{arxiv.2605.29804,
title = {On the WALA conjecture, Alberti representations and applications},
author = {Andrea Merlo},
journal= {arXiv preprint arXiv:2605.29804},
year = {2026}
}
Comments
Preliminary version. This draft proves the WALA conjecture and a qualitative analogue. The methods also yield the more general GWALA conjecture, which will be the main formulation in a future version. Further sections, including applications developed jointly with Michele Villa and Mihalis Mourgoglou, will be added in a subsequent version