Probability and statistics seminar: LERW, SLE, and Minkowski content
- Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 64119
- Lecturer: Fredrik Viklund, KTH
- Contact person: Fiona Skerman
Loop-erased random walk, LERW, is the random self-avoiding walk one gets after erasing the loops from a simple random walk. With Greg Lawler we recently showed in a series of papers that LERW converges as a curve parametrized by renormalized length to an SLE(2) curve parametrized by 5/4-dimensional Minkowski content. In the talk, I will attempt to explain what all this means and indicate what goes into the proofs.