Orthogonal polynomial duality of boundary driven particle systems and non-equilibrium correlations

@article{Floreani2022OrthogonalPD,
  title={Orthogonal polynomial duality of boundary driven particle systems and non-equilibrium correlations},
  author={Simone Floreani and Frank Redig and F. Sau},
  journal={Annales de l'Institut Henri Poincar{\'e}, Probabilit{\'e}s et Statistiques},
  year={2022}
}
We consider symmetric partial exclusion and inclusion processes in a general graph in contact with reservoirs, where we allow both for edge disorder and well-chosen site disorder. We extend the classical dualities to this context and then we derive new orthogonal polynomial dualities. From the classical dualities, we derive the uniqueness of the non-equilibrium steady state and obtain correlation inequalities. Starting from the orthogonal polynomial dualities, we show universal properties of n… 
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