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The Brownian continuum random tree as the unique solution to a fixed point equation
Marie Albenque, Christina Goldschmidt · 2015-04-21 · via math.PR updates on arXiv.org

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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