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arXiv · 2106.10388

Upper bounds for critical probabilities in Bernoulli Percolation models

Pablo A. Gomes·Alan Pereira·Remy Sanchis
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Abstract

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

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Pablo A. Gomes, Alan Pereira, Remy Sanchis. 2021-06-18. Upper bounds for critical probabilities in Bernoulli Percolation models. https://doi.org/10.1017/jpr.2025.10041

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