Article ID Journal Published Year Pages File Type
1152134 Statistics & Probability Letters 2013 7 Pages PDF
Abstract

We consider a long-range percolation on a vertex set of a two-dimensional square lattice, where the probabilities that horizontally long bonds exist may be different from the probabilities that vertically long bonds exist. We give some estimates on the effective resistance in such a model. The precise order of the effective resistance can be represented by using ss, and rr, which are the parameters determining the magnitude of the range in the horizontal and vertical directions.

Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
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