Actions in the Airy line ensemble and convergence to the Airy sheet
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917080180195328 |
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| author | Virag, Balint Wu, Xuan |
| author_facet | Virag, Balint Wu, Xuan |
| contents | Actions in the Airy line ensemble represent distances from an infinitely far object. We characterize the Airy sheet by S(x,.)=T^x(.,1), where T^x is the unique action in the Airy line ensemble satisfying a growth condition depending on x.
This provides a new simple framework for establishing convergence to the Airy sheet. We present simple conceptual proofs of such results in the case of Brownian last passage, the O'Connell-Yor semidiscrete polymer, the log-gamma polymer and the KPZ equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_11207 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Actions in the Airy line ensemble and convergence to the Airy sheet Virag, Balint Wu, Xuan Probability Mathematical Physics Actions in the Airy line ensemble represent distances from an infinitely far object. We characterize the Airy sheet by S(x,.)=T^x(.,1), where T^x is the unique action in the Airy line ensemble satisfying a growth condition depending on x. This provides a new simple framework for establishing convergence to the Airy sheet. We present simple conceptual proofs of such results in the case of Brownian last passage, the O'Connell-Yor semidiscrete polymer, the log-gamma polymer and the KPZ equation. |
| title | Actions in the Airy line ensemble and convergence to the Airy sheet |
| topic | Probability Mathematical Physics |
| url | https://arxiv.org/abs/2511.11207 |