Albenque, Marie; Goldschmidt, Christina The Brownian continuum random tree as the unique solution to a fixed point equation. (English) Zbl 1328.60016 Electron. Commun. Probab. 20, Paper No. 61, 14 p. (2015). 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. Cited in 4 Documents MSC: 60C05 Combinatorial probability 05C05 Trees Keywords:Brownian continuum random tree; fixed point; recursive distributional equation; smoothing transform Citations:Zbl 0722.60013 PDF BibTeX XML Cite \textit{M. Albenque} and \textit{C. Goldschmidt}, Electron. Commun. Probab. 20, Paper No. 61, 14 p. (2015; Zbl 1328.60016) Full Text: DOI arXiv OpenURL