Intermediate Phase for the Contact Process on a Tree
Durrett, Rick ; Schinazi, Rinaldo
Ann. Probab., Tome 23 (1995) no. 3, p. 668-673 / Harvested from Project Euclid
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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.
Publié le : 1995-04-14
Classification:  Contact process,  intermediate phase,  stationary distributions,  non-translation invariant,  60K35 
@article{1176988283,
     author = {Durrett, Rick and Schinazi, Rinaldo},
     title = {Intermediate Phase for the Contact Process on a Tree},
     journal = {Ann. Probab.},
     volume = {23},
     number = {3},
     year = {1995},
     pages = { 668-673},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176988283}
}

Durrett, Rick; Schinazi, Rinaldo. Intermediate Phase for the Contact Process on a Tree. Ann. Probab., Tome 23 (1995) no. 3, pp.  668-673. http://gdmltest.u-ga.fr/item/1176988283/