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 $d$-ary tree with particle density $\Omega (d^{2})$, the set of visited sites contains a linearly expanding ball and the number of visits to the root grows linearly with high probability.
Citation
Christopher Hoffman. Tobias Johnson. Matthew Junge. "Infection spread for the frog model on trees." Electron. J. Probab. 24 1 - 29, 2019. https://doi.org/10.1214/19-EJP368
