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.


Published in:
Annals Of Probability, 37, 1483-1501
Year:
2009
Keywords:
Laboratories:




 Record created 2010-11-30, last modified 2018-09-13


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