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Dimension drop for harmonic measure on Ahlfors regular boundaries

Published 9 Nov 2018 in math.CA, math.AP, and math.MG | (1811.03769v3)

Abstract: We show that given a domain $\Omega\subseteq \mathbb{R}{d+1}$ with uniformly non-flat Ahlfors $s$-regular boundary and $s\geq d$, the dimension of its harmonic measure is strictly less than $s$.

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Authors (1)

  1. Jonas Azzam 

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