Metastable Behavior of Bootstrap Percolation on Galton-Watson Trees

Abstract

We analyze the metastable states near criticality of the bootstrap percolation on Galton-Watson trees. We find that, depending on the exact choice of the offspring distribution, it is possible to have several distinct metastable states, with varying scaling of their duration while approaching criticality.

References in corpus (2)

• Bootstrap percolation on the random graph $G_{n,p}$
• Metastable behavior for bootstrap percolation on regular trees

Cited by in corpus (1)

• Time Scales of the Fredrickson-Andersen Model on Polluted ${\mathbb{Z}}^2$ and ${\mathbb{Z}}^3$