Modified Macdonald polynomials and the multispecies zero-range process. I

DOI10.5802/alco.248OpenAlexW3191048659MaRDI QIDQ2695969

Yanyan Li

Publication date: 5 April 2023

Published in: Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.06117

zbMATH Keywords

tableauxzero range processmodified Macdonald polynomialsTAZRP

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Permutations, words, matrices (05A05) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

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
• Interaction of Markov processes
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• Combinatorics of the two-species ASEP and Koornwinder moments
• A combinatorial formula for the character of the diagonal coinvariants
• A bijective proof of a factorization formula for specialized Macdonald polynomials
• Modified Macdonald polynomials and integrability
• Stationary distributions of the multi-type ASEP
• From multiline queues to Macdonald polynomials via the exclusion process
• Integrable structure of multispecies zero range process
• Stationary distributions of multi-type totally asymmetric exclusion processes
• Multispecies TAZRP and modified Macdonald polynomials
• Koornwinder polynomials and the stationary multi-species asymmetric exclusion process with open boundaries
• Matrix product formula for Macdonald polynomials
• Ribbon tableaux, Hall–Littlewood functions, quantum affine algebras, and unipotent varieties
• A combinatorial formula for Macdonald polynomials
• Asymmetric simple exclusion process with open boundaries and Askey–Wilson polynomials
• One-dimensional partially asymmetric simple exclusion process with open boundaries: orthogonal polynomials approach
• A graded representation model for Macdonald's polynomials.
• Compact formulas for Macdonald polynomials and quasisymmetric Macdonald polynomials
• A new class of symmetric functions

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