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

Marie Albenque, Christina Goldschmidt

Published 2015-04-21Version 1

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.