The Brownian continuum random tree as the unique solution to a fixed point equation

Abstract

In this note, we provide a new characterization of Aldous' Brownian continuum random tree as the unique fixed point of a certain natural operation on continuum trees (which gives rise to a recursive distributional equation). We also show that this fixed point is attractive.

15 pages, 3 figures

References in corpus (2)

• On a functional contraction method
• The continuum random tree is the scaling limit of unlabelled unrooted trees