The contact process seen from a typical infected site
概率论
2008-08-28 v5
摘要
This paper studies contact processes on general countable groups. It is shown that any such contact process has a well-defined exponential growth rate, and this quantity is used to study the process. In particular, it is proved that on any nonamenable group, the critical contact process dies out.
引用
@article{arxiv.math/0507578,
title = {The contact process seen from a typical infected site},
author = {Jan M. Swart},
journal= {arXiv preprint arXiv:math/0507578},
year = {2008}
}
备注
Final version. Corrected a few small typoes