The contact process seen from a typical infected site

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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.
Final version. Corrected a few small typoes

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Probability, 60K35 (Primary) 82C22,82B43 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/167833

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0507578
 http://arxiv.org/abs/math/0507578

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arXiv