Volberg,One phase problem for two positive harmonic function: below the codimension1 threshold, Preprint, arXiv:2205.03687 (2022)

· 2022 · arXiv 2205.03687

1 Pith paper cite this work. Polarity classification is still indexing.

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math.AP · 2026-04-22 · accept · novelty 7.0

On s-Ahlfors regular sets with uniform L² non-flatness β₂ ≥ δ₀, harmonic measure has dimension strictly less than s for all s ∈ (n − c δ₀², n].

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Dimension Drop for Harmonic Measure on Ahlfors Regular Boundaries math.AP · 2026-04-22 · accept · none · ref 26
On s-Ahlfors regular sets with uniform L² non-flatness β₂ ≥ δ₀, harmonic measure has dimension strictly less than s for all s ∈ (n − c δ₀², n].