Color-position symmetry in interacting particle systems

@article{Borodin2019ColorpositionSI,
  title={Color-position symmetry in interacting particle systems},
  author={Alexei Borodin and Alexey Bufetov},
  journal={The Annals of Probability},
  year={2019}
}
We prove a color-position symmetry for a class of ASEP-like interacting particle systems with discrete time on the one-dimensional lattice. The full space-time inhomogeneity of our systems allows to apply the result to colored (or multi-species) ASEP and stochastic vertex models for a certain class of initial/boundary conditions, generalizing previous results of Amir-Angel-Valko and Borodin-Wheeler. We are also able to use the symmetry, together with previously known results for uncolored… 
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23 Citations
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23 Citations

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