Uniqueness thresholds on trees versus graphs
Sly, Allan
Ann. Appl. Probab., Tome 18 (2008) no. 1, p. 1897-1909 / Harvested from Project Euclid
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Counter to the general notion that the regular tree is the worst case for decay of correlation between sets and nodes, we produce an example of a multi-spin interacting system which has uniqueness on the d-regular tree but does not have uniqueness on some infinite d-regular graphs.
Publié le : 2008-10-15
Classification:  Uniqueness,  Potts model,  82B26 
@article{1225372955,
     author = {Sly, Allan},
     title = {Uniqueness thresholds on trees versus graphs},
     journal = {Ann. Appl. Probab.},
     volume = {18},
     number = {1},
     year = {2008},
     pages = { 1897-1909},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1225372955}
}

Sly, Allan. Uniqueness thresholds on trees versus graphs. Ann. Appl. Probab., Tome 18 (2008) no. 1, pp.  1897-1909. http://gdmltest.u-ga.fr/item/1225372955/