One-point distribution of the geodesic in directed last passage percolation
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866914014566547456 |
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| author | Liu, Zhipeng |
| author_facet | Liu, Zhipeng |
| contents | We consider the geodesic of the directed last passage percolation with iid exponential weights. We find the explicit one-point distribution of the geodesic location joint with the last passage times, and its limit as the parameters go to infinity under the KPZ scaling. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2105_15150 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | One-point distribution of the geodesic in directed last passage percolation Liu, Zhipeng Probability Mathematical Physics We consider the geodesic of the directed last passage percolation with iid exponential weights. We find the explicit one-point distribution of the geodesic location joint with the last passage times, and its limit as the parameters go to infinity under the KPZ scaling. |
| title | One-point distribution of the geodesic in directed last passage percolation |
| topic | Probability Mathematical Physics |
| url | https://arxiv.org/abs/2105.15150 |