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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
