Multipoint distribution of periodic TASEP

Jinho Baik University of Michigan Zhipeng Liu University of Kansas

Probability mathscidoc:2104.28001

J. Amer. Math. Soc., 32, 609-674, 2019
The height fluctuations of the models in the KPZ class are expected to converge to a universal process. The spatial process at equal time is known to converge to the Airy process or its variations. However, the temporal process, or more generally the two-dimensional space-time fluctuation field, is less well understood. We consider this question for the periodic TASEP (totally asymmetric simple exclusion process). For a particular initial condition, we evaluate the multitime and multilocation distribution explicitly in terms of a multiple integral involving a Fredholm determinant. We then evaluate the large-time limit in the so-called relaxation time scale.
multipoint distribution, TASEP, periodic TASEP
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  title={Multipoint distribution of periodic TASEP},
  author={Jinho Baik, and Zhipeng Liu},
  booktitle={J. Amer. Math. Soc.},
Jinho Baik, and Zhipeng Liu. Multipoint distribution of periodic TASEP. 2019. Vol. 32. In J. Amer. Math. Soc.. pp.609-674.
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