A determinantal formula for Catalan tableaux and TASEP probabilities

DOI10.1016/J.JCTA.2014.12.005zbMath1307.05227arXiv1310.7059OpenAlexW2086792349MaRDI QIDQ2258901

Olya Mandelshtam

Publication date: 27 February 2015

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

Full work available at URL: https://arxiv.org/abs/1310.7059

zbMATH Keywords

stationary distributiondeterminantal formulaTASEPCatalan tableaux

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10)

Related Items (9)

Bijection from multiline queues to rhombic tableaux for the inhomogeneous 2-TASEP ⋮ Combinatorial mappings of exclusion processes ⋮ Unnamed Item ⋮ Mixing times for the simple exclusion process with open boundaries ⋮ Mixing times for the TASEP in the maximal current phase ⋮ A bijection from staircase tableaux to inversion tables, giving some Eulerian and Mahonian statistics ⋮ Toric tableaux and the inhomogeneous two-species TASEP on a ring ⋮ The TASEP on Galton-Watson trees ⋮ Some statistics on generalized Motzkin paths with vertical steps

Cites Work

• Unnamed Item
• Erratum to ``Tableaux combinatorics for the asymmetric exclusion process and Askey-Wilson polynomials
• Enumeration of totally positive Grassmann cells
• A combinatorial approach to jumping particles
• A Markov chain occurring in enzyme kinetics
• Tableaux combinatorics for the asymmetric exclusion process
• Exact solution of a 1D asymmetric exclusion model using a matrix formulation

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