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

開催日時
2019/05/10 金 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).