Comments on "Construction of the Schramm-Loewner Evolution: A Review"
Comments on "Construction of the Schramm-Loewner Evolution: A Review"
On scaling limits in higher dimensions
A large part of the recent developments on the loop-erased random walk (LERW) have been focused on its scaling limit in three dimensions. As of now, the biggest problem is in describing this scaling limit directly in the continuum, analogous to the SLE in two dimensions. As far as I know, there is not much progress 1.
Footnotes
-
Remark 1.5.2, Convergence of three-dimensional loop-erased random walk in the natural parametrization, Li & Shiraishi ↩︎
This post is licensed under
CC BY 4.0
by the author.