@article{EJP115,
author = {Oswaldo Alves and Fabio Machado and Serguei Popov},
title = {Phase Transition for the Frog Model},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {7},
year = {2002},
keywords = {simple randomwalk, critical probability, percolation.},
abstract = {We study a system of simple random walks on graphs, known as frog model. This model can be described as follows: There are active and sleeping particles living on some graph. Each active particle performs a simple random walk with discrete time and at each moment it may disappear with probability $1-p$. When an active particle hits a sleeping particle, the latter becomes active. Phase transition results and asymptotic values for critical parameters are presented for $Z^d$ and regular trees.
},
pages = {no. 16, 1-21},
issn = {1083-6489},
doi = {10.1214/EJP.v7-115},
url = {http://ejp.ejpecp.org/article/view/115}}