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math-ph2026
A Reverse Hard-Core Model in : an Application of the Pirogov-Sinai Theory
A. Mazel, I. Stuhl, Y. Suhov
In this paper we use the Pirogov--Sinai theory to analyze a class of particle models of Statistical Mechanics on the unit triangular lattice . The models are specifie…
math-ph2026
Quasi-Product States and Factor Types for the One-Dimensional Hard-Core Model
Farrukh Mukhamedov, Yuri Suhov
We study the von Neumann algebra generated by a quasi-product state associated with the one-dimensional hard-core lattice gas. If \(κ>0\) denotes the activity (fugacity), the trans…
math-ph2026
A Nearest-Neighbor Hard-Core Model on a Penrose Graph
A. Mazel, I. Stuhl, Y. Suhov
We prove that the maximal graph-density of an independent set in a Penrose P3 tiling considered as a planar non-directed graph is equal to de…