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The contact process seen from a typical infected site

Jan M. Swart
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Abstract

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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Jan M. Swart. 2008-08-28. The contact process seen from a typical infected site. https://arxiv.org/abs/math/0507578

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