Generalised oriented site percolation
Probability
2023-01-03 v3
Abstract
We consider a generalised oriented site percolation model (GOSP) on 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.
Keywords
Cite
@article{arxiv.2103.15621,
title = {Generalised oriented site percolation},
author = {Ivailo Hartarsky and Réka Szabó},
journal= {arXiv preprint arXiv:2103.15621},
year = {2023}
}
Comments
33 pages, 6 figures, improved presentation in section A.1