科研之友
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摘要
We consider oriented long-range percolation on a graph with vertex set Z(d) x Z(+) and directed edges of the form <(x, t), (x + y, t + 1)>, for x, y in Z(d) and t is an element of Z(+). Any edge of this form is open with probability p(y), independently for all edges. Under the assumption that the values p(y) do not vanish at infinity, we show that there is percolation even if all edges of length more than k are deleted, for k large enough. We also state the analogous result for a long-range contact process on Z(d).
- 出版日期2017-12
