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This article is cited in 4 scientific papers (total in 4 papers)
Determinantal Expressions in Multi-Species TASEP
Jeffrey Kuan Texas A&M University, Department of Mathematics, Mailstop 3368, College Station, TX 77843-3368, USA
Abstract:
Consider an inhomogeneous multi-species TASEP with drift to the left, and define a height function which equals the maximum species number to the left of a lattice site. For each fixed time, the multi-point distributions of these height functions have a determinantal structure. In the homogeneous case and for certain initial conditions, the fluctuations of the height function converge to Gaussian random variables in the large-time limit. The proof utilizes a coupling between the multi-species TASEP and a coalescing random walk, and previously known results for coalescing random walks.
Keywords:
determinantal, multi-species, TASEP, coalescing.
Received: July 14, 2020; in final form December 3, 2020; Published online December 11, 2020
Citation:
Jeffrey Kuan, “Determinantal Expressions in Multi-Species TASEP”, SIGMA, 16 (2020), 133, 6 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1670 https://www.mathnet.ru/eng/sigma/v16/p133
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Abstract page: | 51 | Full-text PDF : | 11 | References: | 10 |
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