Percolation representations of additive particle systems
Probability
2026-05-14 v1
Abstract
It is well-known that additive interacting particle systems with a local state space of cardinality two have a percolation representation in terms of open paths in a graphical representation. In this paper, it is shown how such a percolation representation can be constructed more generally when the local state space is a finite distributive lattice. The theory is demonstrated on Krone's two-stage contact process.
Cite
@article{arxiv.2605.13371,
title = {Percolation representations of additive particle systems},
author = {Jan M. Swart},
journal= {arXiv preprint arXiv:2605.13371},
year = {2026}
}
Comments
19 pages, 1 figure