Minkowski Content of the Scaling Limit of 3D Loop-Erased Random Walk

Explore recent research on the Minkowski content of the scaling limit of three-dimensional loop-erased random walk (LERW) in this 48-minute conference talk presented by Sarai Hernandez Torres from the National Autonomous University of Mexico. Delve into the challenges of analyzing LERW in continuous space and discover how key aspects of the study are conducted in discrete space. Examine sharp estimates on the one-point function and ball-hitting probabilities for LERW on Z^3. Gain insights into this collaborative work with Xinyi Li and Daisuke Shiraishi, presented at IPAM's Statistical Mechanics Beyond 2D Workshop.