Abstract
We show that in between the two critical values for the contact process on trees, there are infinitely many extremal nontranslation invariant stationary distributions. This conclusion is reminiscent of results of Grimmett and Newman for percolation on the product of a tree with the integers where there is an intermediate phase with infinitely many infinite clusters.
Citation
Rick Durrett. Rinaldo Schinazi. "Intermediate Phase for the Contact Process on a Tree." Ann. Probab. 23 (2) 668 - 673, April, 1995. https://doi.org/10.1214/aop/1176988283
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