14 citations · 46 across the 25 of their papers we have counts for
4 papers · 1 filter
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…
Two Phase Free Boundary Problem for Poisson Kernels
Simon Bortz, Max Engelstein, Max Goering +2
We provide a potential theoretic characterization of vanishing chord-arc domains under minimal assumptions. In particular we show that, if a domain has Ahlfors regular boundary, th…
Reifenberg Flatness and Oscillation of the Unit Normal Vector
Simon Bortz, Max Engelstein
We show (under mild topological assumptions) that small oscillation of the unit normal vector implies Reifenberg flatness. We then apply this observation to the study of chord-arc…
Structure of sets which are well approximated by zero sets of harmonic polynomials
Matthew Badger, Max Engelstein, Tatiana Toro
The zero sets of harmonic polynomials play a crucial role in the study of the free boundary regularity problem for harmonic measure. In order to understand the fine structure of th…