The Brownian continuum random tree as the unique solution to a fixed point equation
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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| Médium: | Journal article |
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Institute of Mathematical Statistics
2015
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| Shrnutí: | 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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