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We show that if $n\geq 1$, $\Omega\subset \mathbb R^{n+1}$ is a connecteddomain with porous boundary, and $E\subset \partial\Omega$ is a set of finiteand positive Hausdorff $H^{n}$-measure upon which the harmonic measure $\omega$is absolutely continuous with respect to $H^{n}$, then $\omega|_E$ isconcentrated on an $n$-rectifiable set.

Rectifiability of harmonic measure in domains with porous boundaries