Hall–Littlewood RSK field

@article{Bufetov2017HallLittlewoodRF,
  title={Hall–Littlewood RSK field},
  author={A. Bufetov and K. Matveev},
  journal={Selecta Mathematica},
  year={2017},
  volume={24},
  pages={4839-4884}
}
  • A. Bufetov, K. Matveev
  • Published 2017
  • Mathematics, Physics
  • Selecta Mathematica
  • We introduce a randomized Hall–Littlewood RSK algorithm and study its combinatorial and probabilistic properties. On the probabilistic side, a new model—the Hall–Littlewood RSK field—is introduced. Its various degenerations contain known objects (the stochastic six vertex model, the asymmetric simple exclusion process) as well as a variety of new ones. We provide formulas for a rich class of observables of these models, extending existing results about Macdonald processes. On the combinatorial… CONTINUE READING

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