Multipoint distribution of periodic TASEP

@article{Baik2019MultipointDO,
  title={Multipoint distribution of periodic TASEP},
  author={Jinho Baik and Zhipeng Liu},
  journal={Journal of the American Mathematical Society},
  year={2019}
}
  • J. Baik, Zhipeng Liu
  • Published 9 October 2017
  • Mathematics
  • Journal of the American Mathematical Society
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… 
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References

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We consider the totally asymmetric simple exclusion process (TASEP) in discrete time with sequential update. The joint distribution of the positions of selected particles is expressed as a Fredholm…
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TLDR
In this paper the totally asymmetric simple exclusion process is considered, a model in the KPZ universality class, and its one‐point distribution is a new interpolation between GOE and GUE edge distributions.
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