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- W4300807794 abstract "The inhomogeneous two-species TASEP on a ring is an exclusion process that describes particles of different species hopping clockwise on a ring with parameters giving the hopping rates for different species. We introduce a combinatorial object that we call emph{toric rhombic alternative tableaux}, which are certain fillings of tableaux on a triangular lattice tiled with rhombi, and are in bijection with the well-studied emph{multiline queues} of Ferrari and Martin. Using the tableaux, we obtain a formula for the stationary probabilities of this TASEP, which specializes to results of Ayyer and Linusson. We obtain, in addition, an explicit determinantal formula for these probabilities, and define a Markov chain on the tableaux that projects to the two-species TASEP on a ring." @default.
- W4300807794 created "2022-10-04" @default.
- W4300807794 creator A5074549634 @default.
- W4300807794 date "2017-07-09" @default.
- W4300807794 modified "2023-09-29" @default.
- W4300807794 title "Toric tableaux and the inhomogeneous two-species TASEP on a ring" @default.
- W4300807794 doi "https://doi.org/10.48550/arxiv.1707.02663" @default.
- W4300807794 hasPublicationYear "2017" @default.
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