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Rayleigh processes, real trees, and root growth with re-grafting

Probability Theory and Related Fields, no. 1 (2006): 81-126

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The real trees form a class of metric spaces that extends the class of trees with edge lengths by allowing behavior such as infinite total edge length and vertices with infinite branching degree. Aldous's Brownian continuum random tree, the random tree-like object naturally associated with a standard Brownian excursion, may be thought o...更多

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