Symmetric elliptic functions, IRF models, and dynamic exclusion processes

@article{Borodin2017SymmetricEF,
  title={Symmetric elliptic functions, IRF models, and dynamic exclusion processes},
  author={Alexei Borodin},
  journal={arXiv: Mathematical Physics},
  year={2017}
}
  • A. Borodin
  • Published 18 January 2017
  • Mathematics
  • arXiv: Mathematical Physics
We introduce stochastic Interaction-Round-a-Face (IRF) models that are related to representations of the elliptic quantum group $E_{\tau,\eta}(sl_2)$. For stochasic IRF models in a quadrant, we evaluate averages for a broad family of observables that can be viewed as higher analogs of $q$-moments of the height function for the stochastic (higher spin) six vertex models. In a certain limit, the stochastic IRF models degenerate to (1+1)d interacting particle systems that we call dynamic ASEP and… 
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