Near-the-Axis Universality in Last Passage Percolation
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916977087348736 |
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| author | McKeown, Sam Zhang, Xinyi |
| author_facet | McKeown, Sam Zhang, Xinyi |
| contents | This note establishes a universal directed landscape limit for last passage percolation models in an intermediate scaling regime. We find as a quick consequence the transversal fluctuations for geodesics taken near the axis. We extend the technique of Bodineau and Martin, who in arXiv:math/0410042 have already shown universal one-point fluctuations in this regime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_25059 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Near-the-Axis Universality in Last Passage Percolation McKeown, Sam Zhang, Xinyi Probability 60K35 This note establishes a universal directed landscape limit for last passage percolation models in an intermediate scaling regime. We find as a quick consequence the transversal fluctuations for geodesics taken near the axis. We extend the technique of Bodineau and Martin, who in arXiv:math/0410042 have already shown universal one-point fluctuations in this regime. |
| title | Near-the-Axis Universality in Last Passage Percolation |
| topic | Probability 60K35 |
| url | https://arxiv.org/abs/2509.25059 |