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Preprints, Working Papers, ... Year : 2023

Non symmetric Cauchy kernel, crystals and last passage percolation

Thomas Gobet
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Abstract

We use non-symmetric 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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Dates and versions

hal-03894012 , version 1 (12-12-2022)
hal-03894012 , version 2 (19-04-2023)

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Olga Azenhas, Thomas Gobet, Cédric Lecouvey. Non symmetric Cauchy kernel, crystals and last passage percolation. 2022. ⟨hal-03894012v2⟩
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