Matrix product solution to an inhomogeneous multi-species TASEP
arXiv:1209.1913 · doi:10.1088/1751-8113/46/8/085002
Abstract
We study a multi-species exclusion process with inhomogeneous hopping rates. This model is equivalent to a Markov chain on the symmetric group that corresponds to a random walk in the affine braid arrangement. We find a matrix product representation for the stationary state of this model. We also show that it is equivalent to a graphical construction proposed by Ayyer and Linusson, which generalizes Ferrari and Martin's construction.
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- A bijection between evil-avoiding and rectangular permutations