Absolute Continuity of the Harmonic Measure on Low Dimensional Rectifiable Sets

Abstract In the past decades, we learnt that uniform rectifiability is often a right candidate to go past Lipschitz boundaries in boundary value problems. If $$\Omega $$ Ω is an open domain in $$\mathbb {R}^n$$ R n with mild topological conditions, we can even characterize the $$n-1$$ n - 1 dimensio