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math.CA2023
Small constant uniform rectifiability
Cole Jeznach
We provide several equivalent characterizations of locally flat, -Ahlfors regular, uniformly rectifiable sets in with density close to for any dimension $…
math.CA2022
Non-local distance functions and geometric regularity
Max Engelstein, Cole Jeznach, Svitlana Mayboroda
We establish the equivalence between the regularity (rectifiability) of sets and suitable estimates on the oscillation of the gradient for smooth non-local distance functions. A pr…