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arXiv · 1911.03775

Anisotropic oriented percolation in high dimensions

Pablo Almeida Gomes·Alan Pereira·Remy Sanchis
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Abstract

In this paper we study anisotropic oriented percolation on $\mathbb{Z}^d$ for $d\geq 4$ and show that the local condition for phase transition is closely related to the mean-field condition. More precisely, we show that if the sum of the local probabilities is strictly greater than one and each probability is not too large, then percolation occurs.

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Pablo Almeida Gomes, Alan Pereira, Remy Sanchis. 2019-11-09. Anisotropic oriented percolation in high dimensions. https://doi.org/10.30757/alea.v17-21

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