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arXiv · 2103.15621

Generalised oriented site percolation

Ivailo Hartarsky·Réka Szabó
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Abstract

We consider a generalised oriented site percolation model (GOSP) on $\mathbb Z^d$ with arbitrary neighbourhood. The key additional difficulties as compared to standard oriented percolation (OP) are the lack of symmetry and, in two dimensions, of planarity. We establish that, despite these deficiencies, in the supercritical regime GOSP behaves qualitatively like OP.

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Ivailo Hartarsky, Réka Szabó. 2021-03-29. Generalised oriented site percolation. https://arxiv.org/abs/2103.15621

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