Invariant percolation and harmonic Dirichlet functions
نویسندگان
چکیده
منابع مشابه
Invariant Percolation and Harmonic Dirichlet Functions
The main goal of this paper is to answer question 1.10 and settle conjecture 1.11 of BenjaminiLyons-Schramm [BLS99] relating harmonic Dirichlet functions on a graph to those on the infinite clusters in the uniqueness phase of Bernoulli percolation. We extend the result to more general invariant percolations, including the Random-Cluster model. We prove the existence of the nonuniqueness phase f...
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ژورنال
عنوان ژورنال: GAFA Geometric And Functional Analysis
سال: 2005
ISSN: 1016-443X,1420-8970
DOI: 10.1007/s00039-005-0539-2