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Stable trees as mixings of inhomogeneous continuum random trees

journal contribution
posted on 2024-06-10, 10:26 authored by Minmin WangMinmin Wang

It has been claimed in Aldous, Miermont and Pitman 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.

Funding

Stochastic processes on random graphs with clustering : EPSRC-ENGINEERING & PHYSICAL SCIENCES RESEARCH COUNCIL | EP/W033585/1

History

Publication status

  • Accepted

File Version

  • Accepted version

Journal

Stochastic Processes and their Applications

ISSN

0304-4149

Publisher

Elsevier

Department affiliated with

  • Mathematics Publications

Research groups affiliated with

  • Probability and Statistics Research Group Publications

Institution

University of Sussex

Peer reviewed?

  • Yes

Publications & Copyright policy opt-out

  • No