概率论系列报告(讨论班)—Minkowski Content for Brownian cut points
主 题: 概率论系列报告(讨论班)—Minkowski Content for Brownian cut points
报告人: 李欣意 博士 (University of Chicago)
时 间: 2017-09-04 15:00-16:00
地 点: 理科1号楼1303
Abstract: Consider 2 or 3-dimensional Brownian motion. We prove that the Minkowski content of the set of its cut points is a.s. finite and non-trivial. If time permits, I will also explain how we identify the Minkowski content with the scaling limit of the counting measure of pivotal points for percolation on the triangular lattice in the 2-dimensional case. This is a joint project with Nina Holden, Greg Lawler and Xin Sun.