Among the open problems for SLE suggested by Oded Schramm in his 2006 ICM talk is that of obtaining "reasonable estimates for the speed of convergence of the discrete processes which are known to converge to SLE."
In this talk, we give a rate of convergence of the Loewner driving process of loop-erased random walk to Brownian motion with variance 2, the driving process of SLE$_2$. This is joint work with F. Johansson (KTH) and M. Kozdron (Univ. of Regina).
