Invasion percolation on Galton-Watson trees

DOI10.1214/19-EJP281zbMath1466.60211arXiv1711.10672OpenAlexW2963973764MaRDI QIDQ2631857

Marcus Michelen, Josh Rosenberg, Robin Pemantle

Publication date: 16 May 2019

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.10672

zbMATH Keywords

backboneself-organized criticalityPoisson point processpivotincipient infinite clusterlimit uniform

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (4)

Critical percolation and the incipient infinite cluster on Galton-Watson trees ⋮ The frog model on non-amenable trees ⋮ Multisource invasion percolation on the complete graph ⋮ On transience of frogs on Galton-Watson trees

Cites Work

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• The incipient infinite cluster in two-dimensional percolation
• Approximate counting, uniform generation and rapidly mixing Markov chains
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• Biased random walks on Galton-Watson trees
• Scaling limit of the invasion percolation cluster on a regular tree
• Poisson-Dirichlet branching random walks
• Invasion percolation on regular trees
• Weighted sums of certain dependent random variables
• Problèmes rélatifs à l'itération de fonctions suggérés par les processus en cascade
• Quenched survival of Bernoulli percolation on Galton-Watson trees
• Self-testing algorithms for self-avoiding walks
• Asymptotic properties of supercritical branching processes I: The Galton-Watson process
• Probability Inequalities for Sums of Independent Random Variables
• Probability

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