Non symmetric Cauchy kernel, crystals and last passage percolation
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866913414607011840 |
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| author | Azenhas, Olga Gobet, Thomas Lecouvey, Cédric |
| author_facet | Azenhas, Olga Gobet, Thomas Lecouvey, Cédric |
| contents | We use non-symmetric Cauchy kernel identities to get the law of last passagepercolation models in terms of Demazure characters. The construction is basedon some restrictions of the RSK correspondence that we rephrase in a unifiedway which is compatible with crystal basis theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_06587 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Non symmetric Cauchy kernel, crystals and last passage percolation Azenhas, Olga Gobet, Thomas Lecouvey, Cédric Combinatorics Probability Representation Theory We use non-symmetric Cauchy kernel identities to get the law of last passagepercolation models in terms of Demazure characters. The construction is basedon some restrictions of the RSK correspondence that we rephrase in a unifiedway which is compatible with crystal basis theory. |
| title | Non symmetric Cauchy kernel, crystals and last passage percolation |
| topic | Combinatorics Probability Representation Theory |
| url | https://arxiv.org/abs/2212.06587 |