Scaling limit of the invasion percolation cluster on a regular tree

DOI10.1214/11-AOP731zbMath1281.60076arXiv0910.4205OpenAlexW3098007717MaRDI QIDQ1942116

Jesse Goodman, Omer Angel, Mathieu Merle

Publication date: 15 March 2013

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.4205

zbMATH Keywords

clusterpercolationdiffusive processGramov-Hausdorff topology

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)

Related Items

The scaling limits of the minimal spanning tree and invasion percolation in the plane ⋮ Multi-arm incipient infinite clusters in 2D: scaling limits and winding numbers ⋮ Invasion percolation on Galton-Watson trees ⋮ Scaling limit for the ant in a simple high-dimensional labyrinth ⋮ Multisource invasion percolation on the complete graph ⋮ Invasion percolation on the Poisson-weighted infinite tree ⋮ Exponential growth of ponds in invasion percolation on regular trees

Cites Work

• Exponential growth of ponds in invasion percolation on regular trees
• Outlets of 2D invasion percolation and multiple-armed incipient infinite clusters
• Asymptotic fringe distributions for general families of random trees
• Random trees and applications
• Volume growth and the topology of pointed Gromov-Hausdorff limits
• The incipient infinite cluster in two-dimensional percolation
• Invasion percolation and the incipient infinite cluster in 2D
• Continuum tree limit for the range of random walks on regular trees
• Invasion percolation on regular trees
• Random walk on the incipient infinite cluster on trees
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