Videos

Sarai Hernandez Torres - Minkowski content of the scaling limit of 3D loop-erased random walk

May 8, 2024
Abstract
Recorded 08 May 2024. Sarai Hernandez Torres of the National Autonomous University of Mexico presents "Minkowski content of the scaling limit of 3D loop-erased random walk" at IPAM's Statistical Mechanics Beyond 2D Workshop. Abstract: This talk will present recent work on the Minkowski content of the scaling limit of the three-dimensional loop-erased random walk (LERW). Since essential tools in the continuum are lacking, key parts of the analysis occur in discrete space. In particular, we obtain sharp estimates on the one-point function and ball-hitting probabilities for the LERW on Z^3. Based on joint work with Xinyi Li and Daisuke Shiraishi. Learn more online at: https://www.ipam.ucla.edu/programs/workshops/workshop-iii-statistical-mechanics-beyond-2d/