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Stable trees as mixings of inhomogeneous continuum random trees

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  • Wang, Minmin

Abstract

It has been claimed in Aldous et al. (2004) that all Lévy 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.

Suggested Citation

  • Wang, Minmin, 2024. "Stable trees as mixings of inhomogeneous continuum random trees," Stochastic Processes and their Applications, Elsevier, vol. 175(C).
    • Handle: RePEc:eee:spapps:v:175:y:2024:i:c:s0304414924001108
    DOI: 10.1016/j.spa.2024.104404
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