Almost sure multifractal spectrum for the tip of an SLE curve

作者：Viklund Fredrik Johansson^*; Lawler Gregory F

来源：Acta Mathematica, 2012, 209(2): 265-322.

DOI：10.1007/s11511-012-0087-1

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.

• 出版日期2012-12