Generalizations of TASEP in discrete and continuous inhomogeneous space.

  title={Generalizations of TASEP in discrete and continuous inhomogeneous space.},
  author={Alisa Knizel and L. Petrov and A. Saenz},
  journal={arXiv: Probability},
  • Alisa Knizel, L. Petrov, A. Saenz
  • Published 2018
  • Mathematics, Physics
  • arXiv: Probability
  • We investigate a rich new class of exactly solvable particle systems generalizing the Totally Asymmetric Simple Exclusion Process (TASEP). Our particle systems evolve in discrete or continuous space and can be thought of as new exactly solvable examples of tandem queues, directed first- or last-passage percolation models, or Robinson-Schensted-Knuth type systems with random input. One of the features of the particle systems we consider is the presence of spatial inhomogeneity which can lead to… CONTINUE READING
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