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- W2950378210 abstract "We show that when percolation produces infinitely many infinite clusters on a Cayley graph, one cannot distinguish the clusters from each other by any invariantly defined property. This implies that uniqueness of the infinite cluster is equivalent to non-decay of connectivity (a.k.a. long-range order). We then derive applications concerning uniqueness in Kazhdan groups and in wreath products, and inequalities for $p_u$." @default.
- W2950378210 created "2019-06-27" @default.
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- W2950378210 date "1999-10-01" @default.
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- W2950378210 title "Indistinguishability of Percolation Clusters" @default.
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- W2950378210 doi "https://doi.org/10.1214/aop/1022677549" @default.
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