Abstract
We show that given a domain \({\Omega }\subseteq \mathbb {R}^{d+1}\) with uniformly non-flat Ahlfors s-regular boundary with s ≥ d, the dimension of its harmonic measure is strictly less than s.
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Azzam, J. Dimension Drop for Harmonic Measure on Ahlfors Regular Boundaries. Potential Anal 53, 1025–1041 (2020). https://doi.org/10.1007/s11118-019-09796-6
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DOI: https://doi.org/10.1007/s11118-019-09796-6