# The mean-field behavior of the nearest-neighbor oriented percolation on the BCC lattice above $8+1$ dimensions

@inproceedings{Chen2021TheMB, title={The mean-field behavior of the nearest-neighbor oriented percolation on the BCC lattice above \$8+1\$ dimensions}, author={Lung-Chi Chen and Satoshi Handa and Yoshinori Kamijima}, year={2021} }

In this paper, we consider nearest-neighbor oriented percolation with independent Bernoulli bond-occupation probability on the d-dimensional body-centered cubic (BCC) lattice L and the set of non-negative integers Z+. Thanks to the nice structure of the BCC lattice, we prove that the infrared bound holds on L × Z+ in all dimensions d ≥ 9. As opposed to ordinary percolation, we have to deal with the complex numbers due to asymmetry induced by time-orientation, which makes it hard to estimate the…

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