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math.CO2020★ 8 cited
Modified Macdonald polynomials and the multispecies zero range process: I
Arvind Ayyer, Olya Mandelshtam, James B. Martin
In this paper we prove a new combinatorial formula for the modified Macdonald polynomials , motivated by connections to the theory of interacting particle s…
math.CO2020
Expanding the quasisymmetric Macdonald polynomials in the fundamental basis
Sylvie Corteel, Olya Mandelshtam, Austin Roberts
The quasisymmetic Macdonald polynomials were recently introduced by the first and second authors with Haglund, Mason, and Williams in [3] to refine the symmetric Mac…
math.CO2020
Compact formulas for Macdonald polynomials and quasisymmetric Macdonald polynomials
Sylvie Corteel, Jim Haglund, Olya Mandelshtam +2
We present several new and compact formulas for the modified and integral form of the Macdonald polynomials, building on the compact "multiline queue" formula for Macdonald polynom…