Monotonicity of the critical point in two-dimensional oriented percolation with enhancement
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911474174132224 |
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| author | Terra, Célio |
| author_facet | Terra, Célio |
| contents | In this note, we investigate Bernoulli oriented bond percolation with parameter $p$ on $\mathbb{Z}^2$. In addition to the standard edges, which are open with probability $p$, we introduce diagonal edges each open with probability $\varepsilon$. Every edge is open or closed independently of all other edges. We prove that the critical parameter for this model is strictly decreasing in $\varepsilon$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_10315 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Monotonicity of the critical point in two-dimensional oriented percolation with enhancement Terra, Célio Probability In this note, we investigate Bernoulli oriented bond percolation with parameter $p$ on $\mathbb{Z}^2$. In addition to the standard edges, which are open with probability $p$, we introduce diagonal edges each open with probability $\varepsilon$. Every edge is open or closed independently of all other edges. We prove that the critical parameter for this model is strictly decreasing in $\varepsilon$. |
| title | Monotonicity of the critical point in two-dimensional oriented percolation with enhancement |
| topic | Probability |
| url | https://arxiv.org/abs/2502.10315 |