Percolating sets and the operad of permutations
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915085449953280 |
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| author | Bashkirov, Denis |
| author_facet | Bashkirov, Denis |
| contents | We give an operadic interpretation of the known result of L.Shapiro and A.B.Stephens that characterizes percolating permutation matrices. A relation of ideals and suboperads of the non-symmetric operad of permutations to percolative properties of sets in the 2-neighbor percolation process is discussed. On a related note, we discuss a certain presentation of the operad of permutations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_00753 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Percolating sets and the operad of permutations Bashkirov, Denis Combinatorics Mathematical Physics We give an operadic interpretation of the known result of L.Shapiro and A.B.Stephens that characterizes percolating permutation matrices. A relation of ideals and suboperads of the non-symmetric operad of permutations to percolative properties of sets in the 2-neighbor percolation process is discussed. On a related note, we discuss a certain presentation of the operad of permutations. |
| title | Percolating sets and the operad of permutations |
| topic | Combinatorics Mathematical Physics |
| url | https://arxiv.org/abs/2411.00753 |