Stationary half-space geometric last passage percolation
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912927249858560 |
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| author | Zeng, Jiyue |
| author_facet | Zeng, Jiyue |
| contents | We consider the half-space geometric Last Passage Percolation model starting with stationary measures. We obtain exact formulas for LPP value along the diagonal $(N,N)$ across the entire phase diagram. We also obtain the limits of these distributions under critical scaling which should yield the one-point distribution of the half-space KPZ fixed point starting from stationary initial conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_11887 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stationary half-space geometric last passage percolation Zeng, Jiyue Probability We consider the half-space geometric Last Passage Percolation model starting with stationary measures. We obtain exact formulas for LPP value along the diagonal $(N,N)$ across the entire phase diagram. We also obtain the limits of these distributions under critical scaling which should yield the one-point distribution of the half-space KPZ fixed point starting from stationary initial conditions. |
| title | Stationary half-space geometric last passage percolation |
| topic | Probability |
| url | https://arxiv.org/abs/2507.11887 |