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

Alma Sarai Hernandez Torres
National Autonomous University of Mexico (UNAM)

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.

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