TL;DR
This paper rigorously computes the average multifractal spectrum of harmonic measure on the boundary of Schramm-Loewner Evolution (SLE) clusters, advancing understanding of their geometric properties.
Contribution
It provides a rigorous calculation of the harmonic measure's multifractal spectrum for SLE boundaries, a novel analytical result in the field.
Findings
Explicit formula for the multifractal spectrum of harmonic measure
Enhanced understanding of SLE boundary geometry
New techniques for analyzing harmonic measures on fractal boundaries
Abstract
In this paper we rigorously compute the average multifractal spectrum of harmonic measure on the boundary of SLE clusters.
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