PC Seminar: Quasi-isometries between Galton-Watson trees
- Date: 6 March 2025, 10:15–11:30
- Location: Ångström Laboratory, 64119
- Type: Seminar
- Lecturer: Sascha Troscheit (Uppsala)
- Organiser: Matematiska institutionen
- Contact person: Sascha Troscheit
Sascha Troscheit gives this seminar. Welcome to join!
Abstract: The Galton-Watson process (and tree) is one of the archetypal random tree constructions. Inspired by the work of Basu, Sidoravicius, and Sly, which established the almost sure bi-Lipschitz equivalence of two independent percolations on the lattice, we prove the almost sure quasi-isometric equivalence of a large family of Galton-Watson trees. This also implies quasi-symmetric equivalence of a large class of stochastically self-similar sets under some separation conditions. The proof has interesting links to the “car-parking problem” on trees which I will also present in this talk. Based on joint work with Jayadev Athreya.
Participte on site or via Zoom link (meeting ID 65089679653).
This is a seminar in our seminar series on Probability and Combinatorics (PC).