Sharp bounds on the half-space two-point function for high-dimensional Bernoulli percolation
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915838980784128 |
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| author | Panis, Romain Schapira, Bruno |
| author_facet | Panis, Romain Schapira, Bruno |
| contents | We consider Bernoulli percolation on $\mathbb Z^d$ with $d>6$. We prove an up-to-constant estimate for the critical two-point function restricted to a half-space. This completes previous results of Chatterjee and Hanson (Commun. Pure Appl. Math., 2021), and Chatterjee, Hanson, and Sosoe (Commun. Math. Phys., 2023), and solves a question asked by Hutchcroft, Michta, and Slade (Ann. Probab., 2023). |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_13624 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sharp bounds on the half-space two-point function for high-dimensional Bernoulli percolation Panis, Romain Schapira, Bruno Probability Mathematical Physics 60K35, B2B27, 82B43 We consider Bernoulli percolation on $\mathbb Z^d$ with $d>6$. We prove an up-to-constant estimate for the critical two-point function restricted to a half-space. This completes previous results of Chatterjee and Hanson (Commun. Pure Appl. Math., 2021), and Chatterjee, Hanson, and Sosoe (Commun. Math. Phys., 2023), and solves a question asked by Hutchcroft, Michta, and Slade (Ann. Probab., 2023). |
| title | Sharp bounds on the half-space two-point function for high-dimensional Bernoulli percolation |
| topic | Probability Mathematical Physics 60K35, B2B27, 82B43 |
| url | https://arxiv.org/abs/2512.13624 |