The Singular Strata of a Free-Boundary problem for harmonic measure
Abstract
In this paper, we obtain quantitative estimates on the fine structure of the singular set of the mutual boundary ∂ for pairs of complementary domains, +, - ⊂ Rn which arise in a class of two-sided free boundary problems for harmonic measure. These estimates give new insight into the structure of the mutual boundary, ∂ .
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