The maximal independent set density in the Penrose P3 tiling graph is (57-25√5)/2 ≈0.54915, implying uniqueness of the extreme Gibbs measure for the hard-core model at large activity.
arXiv:2411.07809(2024)
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A Nearest-Neighbor Hard-Core Model on a Penrose Graph
The maximal independent set density in the Penrose P3 tiling graph is (57-25√5)/2 ≈0.54915, implying uniqueness of the extreme Gibbs measure for the hard-core model at large activity.