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摘要
We study a model for inhomogeneous long-range percolation on the hierarchical lattice Omega(N) of order N with an ultrametric d. Each vertex X is an element of Omega(N) is assigned a nonnegative weight W-x, where (W-x)(x is an element of Omega N) are i.i.d. random variables. Conditionally on the weights, and given two parameters alpha >= 0, beta > 0, the edges are independent and the probability that there is an edge between two vertices x and y is of the form 1 - exp{-alpha WxWy/beta(d(x,y))}.
- 出版日期2015-8
- 单位同济大学
