Metastable Behavior of Bootstrap Percolation on Galton-Watson Trees

zbMath1439.60095arXiv1706.08390MaRDI QIDQ4972748

Assaf Shapira

Publication date: 26 November 2019

Full work available at URL: https://arxiv.org/abs/1706.08390

zbMATH Keywords

metastabilitybootstrap percolationGalton-Watson trees

Mathematics Subject Classification ID

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

Related Items (1)

Self-diffusion coefficient in the Kob-Andersen model

Cites Work

• Bootstrap percolation on the random graph \(G_{n,p}\)
• Bootstrap percolation on homogeneous trees has 2 phase transitions
• Metastable behavior for bootstrap percolation on regular trees
• On percolation in random graphs with given vertex degrees
• Bootstrap percolation in a polluted environment
• Sharp metastability threshold for two-dimensional bootstrap percolation
• Polluted bootstrap percolation with threshold two in all dimensions
• Bootstrap percolation on Galton-Watson trees
• Bootstrap Percolation on Infinite Trees and Non-Amenable Groups
• Bootstrap percolation on the random regular graph
• Metastability effects in bootstrap percolation
• The sharp threshold for bootstrap percolation in all dimensions

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