The Brownian continuum random tree as the unique solution to a fixed point equation
Probability
2015-09-08 v2 Combinatorics
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.
Keywords
Cite
@article{arxiv.1504.05445,
title = {The Brownian continuum random tree as the unique solution to a fixed point equation},
author = {Marie Albenque and Christina Goldschmidt},
journal= {arXiv preprint arXiv:1504.05445},
year = {2015}
}
Comments
15 pages, 3 figures