96 citations · 554 across the 37 of their papers we have counts for
5 papers · 1 filter
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…
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…
Ricci Curvature and Bochner Formulas for Martingales
Robert Haslhofer, Aaron Naber
We generalize the classical Bochner formula for the heat flow on M to martingales on the path space PM, and develop a formalism to compute evolution equations for martingales on pa…
Curvature Bounds on Manifolds with Bounded Ricci Curvature
Wenshuai Jiang, Aaron Naber
Consider a Riemannian manifold with bounded Ricci curvature $|\Ric|\leq n-1$ and the noncollapsing lower volume bound $\Vol(B_1(p))>\rv>0$. The first main result of this paper is t…