English

Upper bounds for critical probabilities in Bernoulli Percolation models

Probability 2026-03-17 v2

Abstract

We consider bond and site Bernoulli Percolation in both the oriented and the non-oriented cases on Zd\mathbb{Z}^d and obtain rigorous upper bounds for the critical points in those models for every dimension d3d \geq 3.

Keywords

Cite

@article{arxiv.2106.10388,
  title  = {Upper bounds for critical probabilities in Bernoulli Percolation models},
  author = {Pablo A. Gomes and Alan Pereira and Remy Sanchis},
  journal= {arXiv preprint arXiv:2106.10388},
  year   = {2026}
}

Comments

Accepted for publication in the Journal of Applied Probability. First view available

R2 v1 2026-06-24T03:22:46.481Z