90 citations · 365 across the 17 of their papers we have counts for
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Quantitative Reifenberg theorem for measures
Nick Edelen, Aaron Naber, Daniele Valtorta
We study generalizations of Reifenberg's Theorem for measures in under assumptions on the Jones' -numbers, which appropriately measure how close the support is to…
Rectifiability and upper Minkowski bounds for singularities of harmonic Q-valued maps
Camillo de Lellis, Andrea Marchese, Emanuele Spadaro +1
In this article we prove that the singular set of Dirichlet-minimizing -valued functions is countably -rectifiable and we give upper bounds for the -dimensional Mi…
Stratification for the singular set of approximate harmonic maps
Aaron Naber, Daniele Valtorta
The aim of this note is to extend the results in arXiv:1504.02043 to the case of approximate harmonic maps. More precisely, we will proved that the singular strata of an a…
Energy Identity for Stationary Yang Mills
A. Naber, D. Valtorta
Given a principal bundle over a Riemannian manifold with compact structure group , let us consider a stationary Yang-Mills connection with energy $\int_M |F_A|^2\le…