4 papers · 1 filter
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…
Quasi-Product States and Factor Types for the One-Dimensional Hard-Core Model
Farrukh Mukhamedov, Yuri Suhov
We study a quasi-product state associated with the one-dimensional hard-core Gibbs measure. After coding the model by the topological Markov chain, we construct the standard path $…
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…
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…