Infection spread for the frog model on trees
Probability
2019-10-18 v6
Abstract
The frog model is an infection process in which dormant particles begin moving and infecting others once they become infected. We show that on the rooted -ary tree with particle density , the set of visited sites contains a linearly expanding ball and the number of visits to the root grows linearly with high probability.
Keywords
Cite
@article{arxiv.1710.05884,
title = {Infection spread for the frog model on trees},
author = {Christopher Hoffman and Tobias Johnson and Matthew Junge},
journal= {arXiv preprint arXiv:1710.05884},
year = {2019}
}
Comments
EJP version; results on cover time on finite trees can be found at arXiv:1802.03428