Does Eulerian percolation on $Z^2$ percolate ?
Probability
2021-09-10 v4
Abstract
Eulerian percolation on Z 2 with parameter p is the classical Bernoulli bond percolation with parameter p conditioned on the fact that every site has an even degree. We first explain why Eulerian percolation with parameter p coincides with the contours of the Ising model for a well-chosen parameter (p). Then we study the percolation properties of Eulerian percolation.
Keywords
Cite
@article{arxiv.1607.01974,
title = {Does Eulerian percolation on $Z^2$ percolate ?},
author = {Olivier Garet and Regine Marchand and Irène Marcovici},
journal= {arXiv preprint arXiv:1607.01974},
year = {2021}
}
Comments
This improves the previous version, only the status of one value for p is unknown