학술논문
Almost sure multifractal spectrum for the tip of an SLE curve.
Document Type
Article
Author
Source
Subject
*CURVES
*MATHEMATICAL mappings
*PROBABILITY theory
*HARMONIC analysis (Mathematics)
*MATHEMATICAL analysis
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Language
ISSN
0001-5962
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. [ABSTRACT FROM AUTHOR]