Upper tail large deviations of the directed landscape
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911885611237376 |
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| author | Das, Sayan Dauvergne, Duncan Virág, Bálint |
| author_facet | Das, Sayan Dauvergne, Duncan Virág, Bálint |
| contents | Starting from one-point tail bounds, we establish an upper tail large deviation principle for the directed landscape at the metric level. Metrics of finite rate are in one-to-one correspondence with measures supported on a set of countably many paths, and the rate function is given by a certain Kruzhkov entropy of these measures. As an application of our main result, we prove a large deviation principle for the directed geodesic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_14924 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Upper tail large deviations of the directed landscape Das, Sayan Dauvergne, Duncan Virág, Bálint Probability Mathematical Physics Starting from one-point tail bounds, we establish an upper tail large deviation principle for the directed landscape at the metric level. Metrics of finite rate are in one-to-one correspondence with measures supported on a set of countably many paths, and the rate function is given by a certain Kruzhkov entropy of these measures. As an application of our main result, we prove a large deviation principle for the directed geodesic. |
| title | Upper tail large deviations of the directed landscape |
| topic | Probability Mathematical Physics |
| url | https://arxiv.org/abs/2405.14924 |