The Law of the Iterated Logarithm for SLE
Nuri Kang · International Mathematics Research Notices · 2007
We prove the upper bound in the law of the iterated logarithm for SLE. This leads us to compare the harmonic measure of the SLE boundary to the Hausdorff measure associated with a logarithmicoexponential function. We also provide some indications that the bound is conjectured to be sharp.