Inhomogeneous q-Whittaker polynomials form a basis for an extended commutative ring of symmetric functions and admit positive specializations related to a subset of Macdonald-positive ones, yielding associated probability distributions.
Combinatorial formulas for shifted dual stable grothendieck polynomials.Forum of Mathematics, Sigma, 12:e22, 2024.arXiv:2209.03551v2
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Inhomogeneous $q$-Whittaker polynomials II: ring theorem and positive specializations
Inhomogeneous q-Whittaker polynomials form a basis for an extended commutative ring of symmetric functions and admit positive specializations related to a subset of Macdonald-positive ones, yielding associated probability distributions.