The Survival Of Large Dimensional Threshold Contact Processes
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.
Record created on 2010-11-30, modified on 2016-08-09