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math.AP2018
Square functions, non-tangential limits and harmonic measure in co-dimensions larger than one
Guy David, Max Engelstein, Svitlana Mayboroda
In this paper, we characterize the rectifiability (both uniform and not) of an Ahlfors regular set, E, of arbitrary co-dimension by the behavior of a regularized distance function…
math.AP2018
A new elliptic measure on lower dimensional sets
Guy David, Joseph Feneuil, Svitlana Mayboroda
The recent years have seen a beautiful breakthrough culminating in a comprehensive understanding of certain scale-invariant properties of dimensional sets across analysis, ge…