Tableaux Combinatorics for the Asymmetric Exclusion Process

  title={Tableaux Combinatorics for the Asymmetric Exclusion Process},
  author={Lauren Kiyomi Williams},
The partially asymmetric exclusion process (PASEP) is an important model from statistical mechanics which describes a system of interacting particles hopping left and right on a one-dimensional lattice of n sites. It is partially asymmetric in the sense that the probability of hopping left is q times the probability of hopping right. Additionally, particles may enter from the left with probability α and exit from the right with probability β. In this paper we prove a close connection between… CONTINUE READING


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