6 citations · 12 across the 6 of their papers we have counts for
6 papers
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)…
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^{…
Diagrammatic bounds on the lace-expansion coefficients for oriented percolation
Akira Sakai
We provide a complete proof of the diagrammatic bounds on the lace-expansion coefficients for oriented percolation, which are used in [arXiv:math/0703455] to investigate critical b…
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…
Critical points for spread-out self-avoiding walk, percolation and the contact process above the upper critical dimensions
Remco van der Hofstad, Akira Sakai
We consider self-avoiding walk and percolation in $\Zd$, oriented percolation in $\Zd\times\Zp$, and the contact process in $\Zd$, with being the coupling function who…
Gaussian scaling for the critical spread-out contact process above the upper critical dimension
Remco van der Hofstad, Akira Sakai
We consider the critical spread-out contact process in $\Zd$ with , whose infection range is denoted by . The two-point function is the probability that $…