In this paper, we obtain quantitative estimates on the fine structure of the singular set of the mutual boundary ∂Ω ± for pairs of complementary domains, Ω + , Ω -⊂ R n 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, ∂Ω ± .
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Sean McCurdy (2024) studied this question.
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