作者：GANDOLFI, A; KEANE, MS; NEWMAN, CM
作者单位：New York University; Delft University of Technology
摘要：We extend the theorem of Burton and Keane on uniqueness of the infinite component in dependent percolation to cover random graphs on Z(d) or Z(d) x N with long-range edges. We also study a short-range percolation model related to nearest-neighbor spin glasses on Z(d) or on a slab Z(d) x {0,..., K} and prove both that percolation occurs and that the infinite component is unique for V = Z2 x {0,1} or larger.
