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2015 The Brownian continuum random tree as the unique solution to a fixed point equation
Marie Albenque, Christina Goldschmidt
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Electron. Commun. Probab. 20: 1-14 (2015). DOI: 10.1214/ECP.v20-4250

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.

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Marie Albenque. Christina Goldschmidt. "The Brownian continuum random tree as the unique solution to a fixed point equation." Electron. Commun. Probab. 20 1 - 14, 2015. https://doi.org/10.1214/ECP.v20-4250

Information

Accepted: 8 September 2015; Published: 2015
First available in Project Euclid: 7 June 2016

zbMATH: 1328.60016
MathSciNet: MR3399812
Digital Object Identifier: 10.1214/ECP.v20-4250

Subjects:
Primary: 60C05
Secondary: 05C05

JOURNAL ARTICLE
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