The q-Hahn PushTASEP.

  title={The q-Hahn PushTASEP.},
  author={Ivan Corwin and Konstantin Matveev and Leonid Petrov},
  journal={arXiv: Probability},
  • Ivan Corwin, Konstantin Matveev, Leonid Petrov
  • Published 2018
  • Mathematics, Physics
  • arXiv: Probability
  • We introduce the $q$-Hahn PushTASEP --- an integrable stochastic interacting particle system which is a 3-parameter generalization of the PushTASEP, a well-known close relative of the TASEP (Totally Asymmetric Simple Exclusion Process). The transition probabilities in the $q$-Hahn PushTASEP are expressed through the $_4\phi_3$ basic hypergeometric function. Under suitable limits, the $q$-Hahn PushTASEP degenerates to all known integrable (1+1)-dimensional stochastic systems with a pushing… CONTINUE READING

    Figures from this paper.