OxTalks is Changing
During Michaelmas Term, OxTalks will be moving to a new platform (full details are available on the Staff Gateway).
For now, continue using the current page and event submission process (freeze period dates to be advised).
If you have any questions, please contact halo@digital.ox.ac.uk
Exchangeability, mixtures and continuum random trees
I’ll start with a quick review on some classical results on exchangeability, particularly Kallenberg’s theorem on the canonical form of an exchangeable process on [0, 1]. The 2005 work of Aldous, Miermont and Pitman reveals a close connection between exchangeable processes and a class of continuum random tree called inhomogeneous continuum random trees (ICRT), leading to their claim that Lévy trees are mixtures of ICRT. I’ll present a proof in the case of stable Lévy trees, based upon a new way of constructing continuum random trees that work both for stable trees and ICRT.
Date:
9 February 2022, 12:00
Venue:
Mathematical Institute, Woodstock Road OX2 6GG
Venue Details:
Room L3
Speaker:
Minmin Wang (University of Sussex)
Organising department:
Department of Statistics
Organisers:
Matthias Winkel (Department of Statistics, University of Oxford),
Christina Goldschmidt (Department of Statistics, University of Oxford),
James Martin (Department of Statistics, University of Oxford)
Organiser contact email address:
winkel@stats.ox.ac.uk
Hosts:
Matthias Winkel (Department of Statistics, University of Oxford),
Christina Goldschmidt (Department of Statistics, University of Oxford),
James Martin (Department of Statistics, University of Oxford)
Part of:
Probability seminar
Booking required?:
Not required
Audience:
Members of the University only
Editors:
James Martin,
Matthias Winkel
