Zijie Zhuang, Penn
Event Date
2025-12-02
Event Time
03:30 pm ~ 04:30 pm
Event Location
Penn (David Rittenhouse Lab 4C8)
Several geometric questions about planar Brownian motion remain open. For instance, is the adjacency graph of the complementary connected components of planar Brownian motion connected? Does the intersection of two independent planar Brownian motions contain a non-singleton connected component? In this talk, I will discuss analogous questions for SLE and show that there is a change of behavior in the regime $\kappa \in (4,8)$. I will also explain an application to the conformal non-removability of SLE. The main intuition comes from Mandelbrot's fractal percolation. Based on joint work with Haoyu Liu (PKU).