Publication

The Survival Of Large Dimensional Threshold Contact Processes

Thomas Mountford
2009
Journal Articles

Abstract

We study the threshold theta contact process on Z(d) with infection parameter lambda. We show that the critical point lambda(c), defined as the threshold for survival starting from every site occupied, vanishes as d -> infinity. This implies that the threshold theta voter model on Z(d) has a nondegenerate extremal invariant measure, when d is large.

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The Survival Of Large Dimensional Threshold Contact Processes

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