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

Published 21 Apr 2015 in math.PR and math.CO | (1504.05445v2)

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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