Dual Grothendieck polynomials via last-passage percolation

24 Feb 2020  ·  Yeliussizov Damir ·

The ring of symmetric functions has a basis of dual Grothendieck polynomials that are inhomogeneous $K$-theoretic deformations of Schur polynomials. We prove that dual Grothendieck polynomials determine column distributions for a directed last-passage percolation model.

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Combinatorics Probability