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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.05510 |
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| _version_ | 1866909569968504832 |
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| author | Phan, Duy Xia, David |
| author_facet | Phan, Duy Xia, David |
| contents | Stelzer and Yong (2024) studied the Robinson-Schensted-Knuth (RSK) correspondence as a linear operator on the coordinate ring of matrices. They showed that this operator is block diagonal and conjectured that, in a special block, most diagonal entries vanish. We establish this conjecture by identifying these zeros with certain Schensted insertion interactions and analyzing them probabilistically using the Vershik-Kerov-Logan-Shepp Limit Shape Theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_05510 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | RSK linear operators and the Vershik-Kerov-Logan-Shepp curve Phan, Duy Xia, David Combinatorics Stelzer and Yong (2024) studied the Robinson-Schensted-Knuth (RSK) correspondence as a linear operator on the coordinate ring of matrices. They showed that this operator is block diagonal and conjectured that, in a special block, most diagonal entries vanish. We establish this conjecture by identifying these zeros with certain Schensted insertion interactions and analyzing them probabilistically using the Vershik-Kerov-Logan-Shepp Limit Shape Theorem. |
| title | RSK linear operators and the Vershik-Kerov-Logan-Shepp curve |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2504.05510 |