68 citations · 200 across the 15 of their papers we have counts for
6 papers · 1 filter
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…
The hard-core model on and Kepler's conjecture
A. Mazel, I. Stuhl, Y. Suhov
We study the hard-core model of statistical mechanics on a unit cubic lattice , which is intrinsically related to the sphere-packing problem for spheres with centers…
Kepler's conjecture and phase transitions in the high-density hard-core model on
A. Mazel, I. Stuhl, Y. Suhov
We perform a rigorous study of the identical sphere packing problem in and of phase transitions in the corresponding hard-core model. The sphere diameter and t…
The hard-core model on planar lattices: the disk-packing problem and high-density phases
A. Mazel, I. Stuhl, Y. Suhov
We study dense packings of disks and related Gibbs distributions representing high-density phases in the hard-core model on unit triangular, honeycomb and square lattices. The mode…
A classical WR model with particle types
A. Mazel, Yu. Suhov, I. Stuhl
A version of the Widom--Rowlinson model is considered, where particles of types coexist, with a given collection of hard-core exclusion diameters. For , in the case of…