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math.PR2017★ 6 cited
On large deviation probabilities for empirical distribution of branching random walks: Schr{ö}der case and B{ö}ttcher case
Xinxin Chen, Hui He
Given a super-critical branching random walk on started from the origin, let be the counting measure which counts the number of individuals at the -th…
math.PR2017
Gromov-Hausdorff-Prokhorov convergence of vertex cut-trees of n-leaf Galton-Watson trees
Hui He, Matthias Winkel
In this paper we study the vertex cut-trees of Galton-Watson trees conditioned to have leaves. This notion is a slight variation of Dieuleveut's vertex cut-tree of Galton-Watso…