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math.PR2008★ 2 cited
Convergence of the critical finite-range contact process to super-Brownian motion above the upper critical dimension: I. The higher-point functions
Remco van der Hofstad, Akira Sakai
We consider the critical spread-out contact process in Z^d with d\ge1, whose infection range is denoted by L\ge1. In this paper, we investigate the r-point function τ_{\vec t}^{(r)…
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^{…