# Convergence of three-dimensional loop-erased random walk in the natural parametrization

2019/05/10 Fri 15:00 - 16:30

3号館552号室

Abstract: In this talk, we consider loop-erased random walk (LERW) and its scaling limit in three dimensions, and prove that 3D LERW parametrized by renormalized length converges to its scaling limit parametrized by some suitable measure with respect to the uniform convergence topology in the lattice size scaling limit. This talk is based on joint work with Xinyi Li (University of Chicago).