Abstract
The tip multifractal spectrum of a 2-dimensional curve is one way to describe the behavior of the uniformizing conformal map of the complement near the tip. We give the tip multifractal spectrum for a Schramm–Loewner evolution (SLE) curve, we prove that the spectrum is valid with probability 1, and we give applications to the scaling of harmonic measure at the tip.
Citation
Fredrik Johansson Viklund. Gregory F. Lawler. "Almost sure multifractal spectrum for the tip of an SLE curve." Acta Math. 209 (2) 265 - 322, 2012. https://doi.org/10.1007/s11511-012-0087-1
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