Abstract
We consider a model of oriented percolation on ${\mathbb Z}^d \times {\mathbb Z}$, $d \gt 2$, with long-range interactions, in which the bond occupation probability decays as the $\alpha$-stable distribution with $\alpha = 1$. We use the lace expansion to get an $L^1$ infrared bound estimate which implies several critical exponents via the triangle condition.
Citation
Lung-Chi Chen. Narn-Rueih Shieh. "CRITICAL BEHAVIOR FOR AN ORIENTED PERCOLATION WITH LONG-RANGE INTERACTIONS IN DIMENSION $d \gt 2$." Taiwanese J. Math. 10 (5) 1345 - 1378, 2006. https://doi.org/10.11650/twjm/1500557307
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