Characterization of the threshold for multi-range percolation on oriented trees
Probability
2025-12-11 v2
Abstract
We give a characterization of the percolation threshold for a multirange model on oriented trees, as the first positive root of a polynomial, with the use of a multi-type Galton-Watson process. This gives in particular the exact value of the critical point for the model studied in [2] and [3] for k = 2.
Keywords
Cite
@article{arxiv.2307.01554,
title = {Characterization of the threshold for multi-range percolation on oriented trees},
author = {Olivier Couronné},
journal= {arXiv preprint arXiv:2307.01554},
year = {2025}
}
Comments
This preprint has been incorporated into arXiv:2510.03922