Tableaux combinatorics of the two-species PASEP

DOI10.1016/j.jcta.2018.05.006zbMath1392.05116arXiv1506.01980OpenAlexW1594156541WikidataQ60107959 ScholiaQ60107959MaRDI QIDQ725001

Olya Mandelshtam, Xavier G. Viennot

Publication date: 26 July 2018

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.01980

zbMATH Keywords

asymmetric exclusion processmatrix ansatzmultispecies PASEPrhombic alternative tableaux

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Combinatorial probability (60C05)

Related Items (8)

Bijection from multiline queues to rhombic tableaux for the inhomogeneous 2-TASEP ⋮ Unnamed Item ⋮ Rhombic alternative tableaux and assemblées of permutations ⋮ Combinatorics of the two-species ASEP and Koornwinder moments ⋮ Toric tableaux and the inhomogeneous two-species TASEP on a ring ⋮ Unnamed Item ⋮ Lecture hall tableaux ⋮ Combinatorics of the 2-species exclusion processes, marked Laguerre histories, and partially signed permutations

Cites Work

• Multi-Catalan tableaux and the two-species TASEP
• Erratum to ``Tableaux combinatorics for the asymmetric exclusion process and Askey-Wilson polynomials
• On the two species asymmetric exclusion process with semi-permeable boundaries
• Interaction of Markov processes
• A combinatorial approach to jumping particles
• Tableaux combinatorics for the asymmetric exclusion process
• Two-species asymmetric simple exclusion process with open boundaries
• Exact solution of a 1D asymmetric exclusion model using a matrix formulation
• A Markov Chain on Permutations which Projects to the PASEP

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