On the log-regularity of SLE₄

2020/04/20 by Baverez, Guillaume
#30C85 #31E05 #60J67 #Complex Variables (math.CV) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)

paper · doi:10.48550/arxiv.2004.09462

Abstract

We prove that the welding homeomomorphism of SLE₄ is almost surely log-regular. In a previous version of this work, we had erroneously deduced its removability from this property. Nevertheless, the log-regularity does provide some information and could lead to future developments.

Related

• Backward SLE and the symmetry of the welding
• Regularity of the SLE₄ uniformizing map and the SLE₈ trace
• The topology of SLE_κ is random for κ>4
• Every circle homeomorphism is the composition of two weldings
• Quasi-invariance for SLE welding measures