PC-seminar: The critical beta-splitting random tree: exchangeable partitions and Mellin transform analysis
- Date: 22 January 2025, 15:15–16:00
- Location: Ångström Laboratory, 64119
- Type: Seminar
- Lecturer: Svante Janson (Uppsala)
- Organiser: Matematiska institutionen
- Contact person: Sascha Troscheit
Svante Janson gives this seminar. Welcome to join!
Abstract: The family of beta-splitting random trees was introduced by David Aldous in 1993. The tree is a binary tree with a given number of leaves, and is constructed by recursively splitting the set of leaves into two random subsets with sizes having a distribution given by a certain formula including a parameter beta.
The "critical" case beta = -1 turns out to be particularly interesting, and it has recently attracted renewed interest by Aldous and others, including myself.
I will talk about a few of these results, in particular a representation using exchangeable random partitions of N, and, using this, an analysis of leaf height using Mellin transforms.
(Joint work with David Aldous, see arXiv:2412.09655 and arXiv:2412.12319.)
Participte on site or via Zoom link (meeting ID 65089679653).
This is a seminar in our seminar series on Probability and Combinatorics (PC).