1+O(1) asymptotics for loop percolation in five and higher dimensions
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915443488325632 |
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| author | Vogel, Quirin |
| author_facet | Vogel, Quirin |
| contents | We calculate the one-arm probability and the two-point function for loop percolation in dimensions five and higher on the lattice up to first order. This answers a question posed by Y. Chang and A. Sapozhnikov in Probability Theory and Related Fields (2016). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_09291 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | 1+O(1) asymptotics for loop percolation in five and higher dimensions Vogel, Quirin Probability 60K35 We calculate the one-arm probability and the two-point function for loop percolation in dimensions five and higher on the lattice up to first order. This answers a question posed by Y. Chang and A. Sapozhnikov in Probability Theory and Related Fields (2016). |
| title | 1+O(1) asymptotics for loop percolation in five and higher dimensions |
| topic | Probability 60K35 |
| url | https://arxiv.org/abs/2508.09291 |