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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
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…
math-ph2024
The Pirogov-Sinai Theory for Infinite Interactions
A. Mazel, I. Stuhl, Y. Suhov
The purpose of this note is to consider a number of straightforward generalizations of the Pirogov-Sinai theory which can be covered by minor additions to the canonical texts. Thes…