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Nonsymmetric Cauchy
kernel, crystals and last passage percolation
Olga Azenhas, Thomas Gobet and Cédric Lecouvey |
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Vol. 6 (2024), No. 2, 249–297
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Abstract |
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We use nonsymmetric Cauchy kernel identities to get the law of last passage percolation models in terms of Demazure characters. The construction is based on some restrictions of the RSK correspondence that we rephrase in a unified way which is compatible with crystal basis theory. |
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Keywords
crystals, last passage percolation, RSK correspondence,
Demazure characters, Cauchy identity
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Mathematical Subject Classification
Primary: 05E10
Secondary: 05E05, 60K35
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Milestones
Received: 3 June 2023
Accepted: 27 November 2023
Published: 29 June 2024
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Authors |
| Olga Azenhas | |
| CMUC Department of Mathematics University of Coimbra Coimbra Portugal |
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| Thomas Gobet | |
| Institut Denis Poisson, CNRS UMR
7013 Faculté des Sciences et Techniques Université de Tours Tours France |
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| Cédric Lecouvey | |
| Institut Denis Poisson, CNRS UMR
7013 Faculté des Sciences et Techniques Université de Tours Tours France |
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| © 2024 MSP (Mathematical Sciences Publishers). |
