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   <subfield code="a">We show that, for any Jordan domain J in R2, harmonic measure is supported by a Borel set of packing dimension 1. We also obtain incomplete analogs to the results of Makarov, which connect the almost everywhere behavior of the derivative near the boundary for the conformal mapping function from the unit disk 𝔻 → J with the Hausdorff measure properties of sets supporting the harmonic measure.</subfield>
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