Almost sure multifractal spectrum of SLE

Ewain Gwynne, Jason Miller, Xin Sun

Suppose that $\eta$ is a Schramm-Loewner evolution (SLE${}_{\kappa }$) in a smoothly bounded simply connected domain $D\subset \mathbb{C}$ and that $\varphi$ is a conformal map from $\mathbb{D}$ t…