The contact process seen from a typical infected site Jan

نویسنده

  • Jan M. Swart
چکیده

We consider contact processes on general Cayley graphs. It is shown that any such contact process has a well-defined exponential growth rate, which can be related to the configuration seen from a ‘typical’ infected site at a ‘typical’ late time. Using this quantity, it is proved that on any nonamenable Cayley graph, the critical contact process dies out.

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تاریخ انتشار 2008