Universal Cusp Scaling in Random Partitions
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866917581570441216 |
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| author | Kimura, Taro Zahabi, Ali |
| author_facet | Kimura, Taro Zahabi, Ali |
| contents | We study the universal scaling limit of random partitions obeying the Schur measure. Extending our previous analysis [arXiv:2012.06424], we obtain the higher-order Pearcey kernel describing the multi-critical behavior in the cusp scaling limit. We explore the gap probability associated with the higher Pearcey kernel, and derive the coupled nonlinear differential equation and the asymptotic behavior in the large gap limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_07288 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Universal Cusp Scaling in Random Partitions Kimura, Taro Zahabi, Ali Mathematical Physics Statistical Mechanics High Energy Physics - Theory Combinatorics Probability We study the universal scaling limit of random partitions obeying the Schur measure. Extending our previous analysis [arXiv:2012.06424], we obtain the higher-order Pearcey kernel describing the multi-critical behavior in the cusp scaling limit. We explore the gap probability associated with the higher Pearcey kernel, and derive the coupled nonlinear differential equation and the asymptotic behavior in the large gap limit. |
| title | Universal Cusp Scaling in Random Partitions |
| topic | Mathematical Physics Statistical Mechanics High Energy Physics - Theory Combinatorics Probability |
| url | https://arxiv.org/abs/2208.07288 |