Matrix product ground states for exclusion processes with parallel dynamics

@article{Hinrichsen1995MatrixPG,
  title={Matrix product ground states for exclusion processes with parallel dynamics},
  author={Haye Hinrichsen},
  journal={Journal of Physics A},
  year={1995},
  volume={29},
  pages={3659-3667}
}
  • H. Hinrichsen
  • Published 27 December 1995
  • Mathematics
  • Journal of Physics A
We show in the example of a one-dimensional asymmetric exclusion process that stationary states of models with parallel dynamics may be written in a matrix product form. The corresponding algebra is quadratic and involves three different matrices. Using this formalism we prove previous conjectures for the equal-time correlation functions of the model. 
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