Stable trees as mixings of inhomogeneous continuum random trees
Probability
2022-11-15 v1
Abstract
It has been claimed in Aldous, Miermont and Pitman [PTRF, 2004] that all L\'evy trees are mixings of inhomogeneous continuum random trees. We give a rigorous proof of this claim in the case of a stable branching mechanism, relying on a new procedure for recovering the tree distance from the graphical spanning trees that works simultaneously for stable trees and inhomogeneous continuum random trees.
Keywords
Cite
@article{arxiv.2211.07253,
title = {Stable trees as mixings of inhomogeneous continuum random trees},
author = {Minmin Wang},
journal= {arXiv preprint arXiv:2211.07253},
year = {2022}
}