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Article Dans Une Revue Electronic Communications in Probability Année : 2015

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

Résumé

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.

Dates et versions

hal-02408709 , version 1 (13-12-2019)

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Marie Albenque, Christina Goldschmidt. The Brownian continuum random tree as the unique solution to a fixed point equation. Electronic Communications in Probability, 2015, 20 (61), pp.1-14. ⟨10.1214/ECP.v20-4250⟩. ⟨hal-02408709⟩
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