Continuous multiline queues and TASEP

@inproceedings{Aas2015ContinuousMQ,
  title={Continuous multiline queues and TASEP},
  author={Erik Aas and Svante Linusson},
  year={2015}
}
The TASEP (totally asymmetric simple exclusion process) studied here is a Markov chain on cyclic words over the alphabet{1,2,...,n} given by at each time step sorting an adjacent pair of letters chosen uniformly at random. For example, from the word 3124 one may go to 1324, 3124, 3124, 4123 by sorting the pair 31, 12, 24, or 43.Two words have the sametype if they are permutations of each other. If we restrict TASEP to words of some particular type m we get an ergodic Markov chain whose… CONTINUE READING

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