Facilitated exclusion process

@article{Baik2016FacilitatedEP,
  title={Facilitated exclusion process},
  author={Jinho Baik and Guillaume Barraquand and Ivan Corwin and Toufic M. Suidan},
  journal={arXiv: Probability},
  year={2016}
}
We study the Facilitated TASEP, an interacting particle system on the one dimensional integer lattice. We prove that starting from step initial condition, the position of the rightmost particle has Tracy Widom GSE statistics on a cube root time scale, while the statistics in the bulk of the rarefaction fan are GUE. This uses a mapping with last-passage percolation in a half-quadrant which is exactly solvable through Pfaffian Schur processes. Our results further probe the question of how first… 

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