Regularity of the SLE${}_4$ uniformizing map and the SLE${}_8$ trace

Konstantinos Kavvadias, Jason Miller, Lukas Schoug

We show that the modulus of continuity of the SLE${}_4$ uniformizing map is given by $(\log {\delta }^{-1}{)}^{-1/3+o(1)}$ as $\delta \to 0$. As a consequence of our analysis, we show that the Jones…