Pruning Galton-Watson trees and tree-valued Markov processes

DOI10.1214/11-AIHP423zbMath1256.60028arXiv1007.0370MaRDI QIDQ441242

Jean-François Delmas, Hui He, Romain Abraham

Publication date: 20 August 2012

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.0370

zbMATH Keywords

branching processGalton-Watson processrandom treeascension process

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items

Gromov-Hausdorff-Prokhorov convergence of vertex cut-trees of \(n\)-leaf Galton-Watson trees, Convergence of bi-measure \(\mathbb{R}\)-trees and the pruning process, A continuum-tree-valued Markov process, On the maximal offspring in a subcritical branching process, Dynamical pruning of rooted trees with applications to 1-D ballistic annihilation, Path-valued branching processes and nonlocal branching superprocesses, The forest associated with the record process on a Lévy tree, A tree-valued Markov process associated with an admissible family of branching mechanisms, Combinatorial Lévy processes, Exit times for an increasing Lévy tree-valued process, Limit Theorems for Continuous-Time Branching Flows, Pruning of CRT-sub-trees, Random self-similar trees: a mathematical theory of Horton laws, Generalized Markov branching trees

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