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Survival of multidimensional contact process in random environments. (English) Zbl 0768.60094
Summary: We consider contact processes in dimension \(d\geq 2\), with death rates identically one and random infection rates i.i.d distributed on the space. We show that the process may survive although the distribution \(\lambda\) of the infection rate is such that the expectation of \([\log(1+\lambda)]^{d-\varepsilon}\) is as close to zero as one wishes.

MSC:
60K35 Interacting random processes; statistical mechanics type models; percolation theory
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