Rhombic staircase tableaux and Koornwinder polynomials

Combinatorial aspects of representation theory (05E10) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Cites Work

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Erratum to ``Tableaux combinatorics for the asymmetric exclusion process and Askey-Wilson polynomials
Asymmetric simple exclusion process with open boundaries and Koornwinder polynomials
A combinatorial formula for Macdonald polynomials
Tableaux combinatorics of the two-species PASEP
A combinatorial derivation of the PASEP stationary state
Interaction of Markov processes
MacDonald-Koornwinder moments and the two-species exclusion process
Combinatorics of the two-species ASEP and Koornwinder moments
Specializations of nonsymmetric Macdonald-Koornwinder polynomials
A combinatorial approach to jumping particles
Nonsymmetric Koornwinder polynomials and duality
A duality of MacDonald-Koornwinder polynomials and its application to integral representations
Stationary distributions of the multi-type ASEP
Tableaux combinatorics for the asymmetric exclusion process
Two-species asymmetric simple exclusion process with open boundaries
BC\(_n\)-symmetric polynomials
Modified Macdonald polynomials and the multispecies zero-range process. I
Koornwinder polynomials and the stationary multi-species asymmetric exclusion process with open boundaries
Affine Hecke Algebras and Their Graded Version
Matrix product construction for Koornwinder polynomials and fluctuations of the current in the open ASEP
Matrix product formula for Macdonald polynomials
Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
A combinatorial formula for Macdonald polynomials
Exact solution of a 1D asymmetric exclusion model using a matrix formulation
Asymmetric simple exclusion process with open boundaries and Askey–Wilson polynomials
Asymmetric exclusion model and weighted lattice paths
Commuting difference operators with polynomial eigenfunctions
Integrable Stochastic Dualities and the Deformed Knizhnik–Zamolodchikov Equation
Nonsymmetric Macdonald polynomials via integrable vertex models
From multiline queues to Macdonald polynomials via the exclusion process
A new class of symmetric functions
Colored fermionic vertex models and symmetric functions

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