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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.15744 |
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| _version_ | 1866917499643101184 |
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| author | Aida, Haruna Kimura, Taro |
| author_facet | Aida, Haruna Kimura, Taro |
| contents | We investigate the multicritical scaling limit of the shifted Schur measures. Under an appropriate scaling limit and specific conditions on the continuous parameters, we explicitly determine the limit shape of strict partitions distributed according to the shifted Schur measure. We then show that, under a multicritical condition, the edge scaling limit of the correlation function converges to a determinant of the higher-order Airy kernel. This rigorously demonstrates a transition from a Pfaffian point process to a determinantal distribution in the scaling limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_15744 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Multicritical Scaling Limit of Shifted Schur Measure Aida, Haruna Kimura, Taro Combinatorics Mathematical Physics Probability Representation Theory We investigate the multicritical scaling limit of the shifted Schur measures. Under an appropriate scaling limit and specific conditions on the continuous parameters, we explicitly determine the limit shape of strict partitions distributed according to the shifted Schur measure. We then show that, under a multicritical condition, the edge scaling limit of the correlation function converges to a determinant of the higher-order Airy kernel. This rigorously demonstrates a transition from a Pfaffian point process to a determinantal distribution in the scaling limit. |
| title | Multicritical Scaling Limit of Shifted Schur Measure |
| topic | Combinatorics Mathematical Physics Probability Representation Theory |
| url | https://arxiv.org/abs/2605.15744 |