Combinatorics for General Kinetically Constrained Spin Models

@article{Mareche2020CombinatoricsFG,
  title={Combinatorics for General Kinetically Constrained Spin Models},
  author={Laure Marêché},
  journal={SIAM J. Discret. Math.},
  year={2020},
  volume={34},
  pages={370-384}
}
We study the set of possible configurations for a general kinetically constrained model (KCM), a non monotone version of the $\mathcal{U}$-bootstrap percolation cellular automata. We solve a combinatorial question that is a generalization of a problem addressed by Chung, Diaconis and Graham in 2001 for a specific one-dimensional KCM, the East model. Since the general models we consider are in any dimension and lack the oriented character of the East dynamics, we have to follow a completely… 

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