The existence of a giant cluster for percolation on large Crump–Mode–Jagers trees

DOI10.1017/apr.2019.61zbMath1475.60164arXiv1806.10686OpenAlexW3021035133MaRDI QIDQ3298820

Gabriel Berzunza

Publication date: 16 July 2020

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.10686

zbMATH Keywords

percolationrandom treegiant componentCrump-Mode-Jagers processes

Mathematics Subject Classification ID

Trees (05C05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (2)

The asymptotic distribution of cluster sizes for supercritical percolation on random split trees ⋮ The fluctuations of the giant cluster for percolation on random split trees

Cites Work

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• Fringe trees, Crump-Mode-Jagers branching processes and \(m\)-ary search trees
• From uniform renewal theorem to uniform large and moderate deviations for renewal-reward processes
• Asymptotic fringe distributions for general families of random trees
• The size of random fragmentation trees
• Coalescent random forests
• On the expected height of fringe-blanced trees
• A strong law for the height of random binary pyramids
• Size-biased and conditioned random splitting trees
• Supercritical percolation on large scale-free random trees
• The contour of splitting trees is a Lévy process
• On the non-Gaussian fluctuations of the giant cluster for percolation on random recursive trees
• Combinatorial stochastic processes. Ecole d'Eté de Probabilités de Saint-Flour XXXII -- 2002.
• Yule processes with rare mutation and their applications to percolation on \(b\)-ary trees
• Almost Giant Clusters for Percolation on Large Trees with Logarithmic Heights
• Sizes of the largest clusters for supercritical percolation on random recursive trees
• The growth and composition of branching populations
• Random Trees
• On the convergence of supercritical general (C-M-J) branching processes
• Universal Limit Laws for Depths in Random Trees
• Note on the heights of random recursive trees and random m‐ary search trees
• The stable doubly infinite pedigree process of supercritical branching populations
• Weak limits for the largest subpopulations in Yule processes with high mutation probabilities
• Random trees and general branching processes
• Percolation on random recursive trees
• Preferential Attachment Random Graphs with General Weight Function

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