Stable trees as mixings of inhomogeneous continuum random trees

Minmin Wang

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arXiv · 2211.07253

Stable trees as mixings of inhomogeneous continuum random trees

Minmin Wang

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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.

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Minmin Wang. 2022-11-14. Stable trees as mixings of inhomogeneous continuum random trees. https://arxiv.org/abs/2211.07253

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