Isoperimetry and heat kernel decay on percolation clusters
نویسندگان
چکیده
Short title: Isoperimetry on percolation clusters. Abstract: we prove that the heat kernel on the infinite Bernoulli percolation cluster in Z almost surely decays faster than t−d/2. We also derive estimates on the mixing time for the random walk confined to a finite box. Our approach is based on local isoperimetric inequalities. Some of the results of this paper were previously announced in the note [11].
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