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...
Main Authors: | , |
---|---|
Format: | Journal article |
Published: |
Bernoulli Society for Mathematical Statistics and Probability
2019
|