The Minkowski content for Brownian cut points

Date: 
2017/12/22 Fri 13:00 - 14:30
Room: 
Room 552, Building No.3
Speaker: 
Xinyi Li
Affiliation: 
The University of Chicago
Abstract: 

In this talk, I will discuss cut points of 2 or 3-dimensional Brownian motion and show the existence of its Minkowski content as a Borel measure. If time permits, I will also talk about how it is connected with the counting measure of pivotal points for percolation in the 2-dimensional case. This is a joint project with Nina Holden, Greg Lawler and Xin Sun.