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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Research supported by GAČR grant 201/06/1323 and the German Science Foundation. Part of this work was carried out when the author was employed as a postdoc at the University of Tübingen.
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Swart, J.M. The Contact Process Seen from a Typical Infected Site. J Theor Probab 22, 711–740 (2009). https://doi.org/10.1007/s10959-008-0184-4
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DOI: https://doi.org/10.1007/s10959-008-0184-4