- Abstract:
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We introduce a general recursive method to construct continuum random trees (CRTs) from i.i.d. copies of a string of beads, that is, any random interval equipped with a random discrete measure. We prove the existence of these CRTs as a new application of the fixpoint method formalised in high generality by Aldous and Bandyopadhyay. We further apply this recursive construction to "embed" Duquesne and Le Gall's stable tree into a binary compact CRT in a way that solves an open problem p...
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- Grant:
- EP/P505666/1
- Funding agency for:
- Project
- Type of award:
- DPhil
- Awarding institution:
- University of Oxford
- Copyright date:
- 2016
Thesis
Recursive construction of continuum random trees and some contributions to the theory of tree-valued stochastic processes
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+ Engineering & Physical Sciences Research Council
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