The contact process seen from a typical infected site

Details The contact process seen from a typical infected site The contact process seen from a typical infected site

2005-07-27

arxiv.org/abs/math/0507578v5

Mathematics

Probability

Final version. Corrected a few small typoes

Scientific paper

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.

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