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

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.

Bibliographic Details
Main Authors: Albenque, M, Goldschmidt, C
Format: Journal article
Published: Institute of Mathematical Statistics 2015
Description
Summary: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.