On the $\log$-regularity of SLE$_4$

Guillaume Baverez

paper

On the $lo g$ -regularity of SLE $_{4}$

arXiv:2004.09462

Abstract

We prove that the welding homeomomorphism of SLE $_{4}$ is almost surely $lo g$ -regular. In a previous version of this work, we had erroneously deduced its removability from this property. Nevertheless, the $lo g$ -regularity does provide some information and could lead to future developments.

12 pages. Major changes. Due to a mistake in the proof, Theorem 1.1 of the previous version does not hold. This does not affect the part on the $lo g$ -regularity of SLE $_{4}$ , but its removability cannot be deduced simply from this property

On the log-regularity of SLE4​

Abstract

On the $lo g$ -regularity of SLE $_{4}$