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• W2279617167 abstract "In the present paper we prove that for any open connected set $${Omegasubsetmathbb{R}^{n+1}}$$ , $${ngeq 1}$$ , and any $${Esubset partial Omega}$$ with $${mathcal{H}^n(E)<infty}$$ , absolute continuity of the harmonic measure $${omega}$$ with respect to the Hausdorff measure on E implies that $${omega|_E}$$ is rectifiable. This solves an open problem on harmonic measure which turns out to be an old conjecture even in the planar case $${n=1}$$ ." @default.
• W2279617167 created "2016-06-24" @default.
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• W2279617167 date "2016-06-01" @default.
• W2279617167 modified "2023-10-14" @default.
• W2279617167 title "Rectifiability of harmonic measure" @default.
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• W2279617167 doi "https://doi.org/10.1007/s00039-016-0371-x" @default.
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