Critical percolation and the incipient infinite cluster on Galton-Watson trees

DOI10.1214/19-ECP216zbMath1412.60134arXiv1806.00888OpenAlexW3099219294MaRDI QIDQ2631804

Marcus Michelen

Publication date: 16 May 2019

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

Full work available at URL: https://arxiv.org/abs/1806.00888

zbMATH Keywords

critical percolationincipient infinite clusterexponential limit lawKolmogorov's estimate

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Random walks and percolation on trees
• The incipient infinite cluster in two-dimensional percolation
• Subdiffusive behavior of random walk on a random cluster
• A short note on the conditional Borel-Cantelli lemma
• Conceptual proofs of \(L\log L\) criteria for mean behavior of branching processes
• Random walk on the incipient infinite cluster on trees
• Invasion percolation on Galton-Watson trees
• Asymptotic properties of supercritical branching processes I: The Galton-Watson process
• Probability

This page was built for publication: Critical percolation and the incipient infinite cluster on Galton-Watson trees