A note on last passage percolation and Schur processes
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914077353181184 |
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| author | Dimitrov, Evgeni Yang, Zongrui |
| author_facet | Dimitrov, Evgeni Yang, Zongrui |
| contents | In this note we provide a short proof of the distributional equality between last passage percolation with geometric weights along a general down-right path and Schur processes. We do this in both the full-space and half-space settings, and for general parameters. The main inputs for our arguments are generalizations of the Robinson-Schensted-Knuth correspondence and Greene's theorem due to Krattenthaler, which are based on Fomin's growth diagrams. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_04713 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on last passage percolation and Schur processes Dimitrov, Evgeni Yang, Zongrui Probability 05A05, 60K35 In this note we provide a short proof of the distributional equality between last passage percolation with geometric weights along a general down-right path and Schur processes. We do this in both the full-space and half-space settings, and for general parameters. The main inputs for our arguments are generalizations of the Robinson-Schensted-Knuth correspondence and Greene's theorem due to Krattenthaler, which are based on Fomin's growth diagrams. |
| title | A note on last passage percolation and Schur processes |
| topic | Probability 05A05, 60K35 |
| url | https://arxiv.org/abs/2510.04713 |