Probability Seminar

Date: May 22, 2018

Time: 2:00PM - 3:00PM

Location: BLOC 628

Speaker: Xinyi Li, University of Chicago

Title: Minkowski Content for Brownian cut points

Abstract: Consider 2 or 3-dimensional Brownian motion and the set of its cut points. In this talk, we will discuss about its relationship with the intersection exponent of Brownian motion and prove the existence of its Minkowski content as a random Borel measure. As an application, we are able to identify this measure as 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.