English

Metastable Behavior of Bootstrap Percolation on Galton-Watson Trees

Probability 2020-06-17 v2

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.

Keywords

Cite

@article{arxiv.1706.08390,
  title  = {Metastable Behavior of Bootstrap Percolation on Galton-Watson Trees},
  author = {Assaf Shapira},
  journal= {arXiv preprint arXiv:1706.08390},
  year   = {2020}
}