Matrix product solution of an inhomogeneous multi-species TASEP

DOI10.1088/1751-8113/46/8/085002zbMath1278.82039arXiv1209.1913OpenAlexW3102396953MaRDI QIDQ4915691

Chikashi Arita, Kirone Mallick

Publication date: 11 April 2013

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.1913

zbMATH Keywords

matrix product ansatzMarkov chaintensor algebramulti-species TASEP

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Related Items (16)

Bijection from multiline queues to rhombic tableaux for the inhomogeneous 2-TASEP ⋮ Matrix product representation of the stationary state of the open zero range process ⋮ Combinatorial mappings of exclusion processes ⋮ Inhomogeneous generalization of a multispecies totally asymmetric zero range process ⋮ Stationary distributions of the multi-type ASEP ⋮ An inhomogeneous multispecies TASEP on a ring ⋮ Schubert polynomials and the inhomogeneous TASEP on a ring ⋮ A bijection between evil-avoiding and rectangular permutations ⋮ A new braid-like algebra for Baxterisation ⋮ Matrix product solution of the stationary state of two-species open zero range processes ⋮ Toric tableaux and the inhomogeneous two-species TASEP on a ring ⋮ A product formula for the TASEP on a ring ⋮ Multiline queues with spectral parameters ⋮ Matrix product solution to multi-species ASEP with open boundaries ⋮ Cylindric rhombic tableaux and the two-species ASEP on a ring ⋮ Multi-state asymmetric simple exclusion processes

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