Non-simple SLE curves are not determined by their range
Name
1609.04799.pdf
Description
Accepted version
Size
1.17 MB
Format
Adobe PDF
Checksum (MD5)
85120b598134a1e43ed62a67a89f1541
Author(s)
Miller, Jason
Sheffield, Scott
Werner, Wendelin
Date Issued
2019
Journal
Journal of the European Mathematical Society
Publisher
European Mathematical Society Publishing House
Version
Author's final manuscript
Abstract
© European Mathematical Society 2020 We show that when observing the range of a chordal SLEκ curve for κ ∈ (4, 8), it is not possible to recover the order in which the points have been visited. We also derive related results about conformal loop ensembles (CLE): (i) The loops in a CLEκ for κ ∈ (4, 8) are not determined by the CLEκ gasket. (ii) The continuum percolation interfaces defined in the fractal carpets of conformal loop ensembles CLEκ for κ ∈ (8/3, 4) (we defined these percolation interfaces in earlier work, where we also showed that they are SLE16/κ curves) are not determined by the CLEκ carpet that they are defined in.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.4171/JEMS/930
