Gromov–Hausdorff–Prokhorov convergence of vertex cut-trees of n-leaf Galton–Watson trees

Gromov–Hausdorff–Prokhorov convergence of vertex cut-trees of n-leaf Galton–Watson trees

In this paper, we study the vertex cut-trees of Galton–Watson trees conditioned to have n leaves. This notion is a slight variation of Dieuleveut’s vertex cut-tree of Galton–Watson trees conditioned to have n vertices. Our main result is a joint Gromov–Hausdorff–Prokhorov convergence in the finite v...

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Main Authors: He, H, Winkel, M
格式: Journal article
出版: Bernoulli Society for Mathematical Statistics and Probability 2019

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