Critical Percolation on Any Nonamenable Group has no Infinite Clusters
نویسندگان
چکیده
منابع مشابه
Critical Percolation on Any Nonamenable Group Has No Innnite Clusters
We show that independent percolation on any Cayley graph of a nonamenable group has no innnite components at the critical parameter. This result was obtained in Benjamini, Lyons, Peres, and Schramm (1997) as a corollary of a general study of group-invariant percolation. The goal here is to present a simpler self-contained proof that easily extends to quasi-transitive graphs with a unimodular au...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 1999
ISSN: 0091-1798
DOI: 10.1214/aop/1022677450