Scaling of the cumulative weights of the invasion percolation cluster on a branching process tree

DOI10.1214/24-ecp634MaRDI QIDQ6654862

Rowel Gündlach

Publication date: 20 December 2024

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

zbMATH Keywords

branching processesinvasion percolationweight scaling

Mathematics Subject Classification ID

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

Cites Work

• On explosions in heavy-tailed branching random walks
• Invasion percolation on the Poisson-weighted infinite tree
• First passage percolation on random graphs with finite mean degrees
• Invasion percolation on regular trees
• Invasion percolation on Galton-Watson trees
• Stochastic-Process Limits
• Capillary displacement and percolation in porous media
• Nonuniversality of weighted random graphs with infinite variance degree
• Invasion percolation on power-law branching processes
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