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math.PR2008
Critical behavior and the limit distribution for long-range oriented percolation. II: Spatial correlation
Lung-Chi Chen, Akira Sakai
We prove that the Fourier transform of the properly-scaled normalized two-point function for sufficiently spread-out long-range oriented percolation with index α>0 converges to e^{…
math.PR2007
Critical behavior and the limit distribution for long-range oriented percolation. I
Lung-Chi Chen, Akira Sakai
We consider oriented percolation on Z^d times Z_+ whose bond-occupation probability is pD(...), where p is the percolation parameter and D is a probability distribution on Z^d. Sup…