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math.AP2024
Rectifiable Reifenberg and uniform positivity under almost calibrations
Nicholas Edelen, Aaron Naber, Daniele Valtorta
The Reifenberg theorem \cite{reif_orig} tells us that if a set is uniformly close on all points and scales to a -dimensional subspace, then…
math.AP2022
A strong maximum principle for minimizers of the one-phase Bernoulli problem
Nick Edelen, Luca Spolaor, Bozhidar Velichkov
We prove a strong maximum principle for minimizers of the one-phase Alt-Caffarelli functional. We use this to construct a Hardt-Simon-type foliation associated to any 1-homogenous…
math.AP2018
Effective Reifenberg theorems in Hilbert and Banach spaces
Nicholas Edelen, Aaron Naber, Daniele Valtorta
The aim of this article is to study effective Reifenberg theorems for measures in a Hilbert or Banach space. For Hilbert spaces, we see all the results from continue…