• Corpus ID: 210023671

Invariance of polymer partition functions under the geometric RSK correspondence

  title={Invariance of polymer partition functions under the geometric RSK correspondence},
  author={Ivan Corwin},
  journal={arXiv: Probability},
  • Ivan Corwin
  • Published 7 January 2020
  • Mathematics
  • arXiv: Probability
We prove that the values of discrete directed polymer partition functions involving multiple non-intersecting paths remain invariant under replacing the background weights by their images under the geometric RSK correspondence. This result is inspired by a recent and remarkable identity proved by Dauvergne, Orthmann and Vir\'ag which is recovered as the zero-temperature, semi-discrete limit of our main result. 
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