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

開催日時: 
2019/05/10 Fri 15:00 - 16:30
場所: 
3号館552号室
講演者: 
白石 大典
講演者所属: 
京都大学大学院情報学研究科
概要: 

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).