On the regularity of SLE trace

Loading...
Thumbnail Image
Date
2017
Volume
5
Issue
Journal
Forum of Mathematics. Sigma
Series Titel
Book Title
Publisher
Cambridge : Cambridge Univ. Press
Link to publishers version
Abstract

We revisit regularity of SLE trace, for all κ≠8, and establish Besov regularity under the usual half-space capacity parametrization. With an embedding theorem of Garsia–Rodemich–Rumsey type, we obtain finite moments (and hence almost surely) optimal variation regularity with index min(1+κ/8,2), improving on previous works of Werness, and also (optimal) Hölder regularity à la Johansson Viklund and Lawler.

Description
Keywords
Citation
Friz, P. K., & Tran, H. (2017). On the regularity of SLE trace (Cambridge : Cambridge Univ. Press). Cambridge : Cambridge Univ. Press. https://doi.org//10.1017/fms.2017.18
Collections
License
CC BY 4.0 Unported