Metastable behavior of bootstrap percolation on Galton-Watson trees

Assaf Shapira
2019 Latin American Journal of Probability and Mathematical Statistics  
We analyze the metastable behavior near criticality for 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.
doi:10.30757/alea.v16-40 fatcat:ymppk5xnijdf5jd2uhxjjz3cze