Volberg,On the harmonic measure of self-similar sets on the plane, Harmonic analysis and discrete potential theory (Frascati, 1991), Plenum, New York, 1992, pp

· 1991

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math.AP · 2026-04-22 · unverdicted · novelty 5.0

For s-Ahlfors regular sets with β2 non-flatness at least δ0, harmonic measure dimension drops below s when s exceeds n minus c δ0 squared.

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Dimension Drop for Harmonic Measure on Ahlfors Regular Boundaries math.AP · 2026-04-22 · unverdicted · none · ref 27
For s-Ahlfors regular sets with β2 non-flatness at least δ0, harmonic measure dimension drops below s when s exceeds n minus c δ0 squared.