68 citations · 200 across the 15 of their papers we have counts for
15 papers
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…
Minimal Area of a Voronoi Cell in a Packing of Unit Circles
A. Mazel, I. Stuhl, Y. Suhov
We present a new self-contained proof of the well-known fact that the minimal area of a Voronoi cell in a unit circle packing is equal to , and the minimum is achieved o…
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…
High-density hard-core model on and norm equations in ring
A. Mazel, I. Stuhl, Y. Suhov
We study the Gibbs statistics of high-density hard-core configurations on a unit square lattice , for a general Euclidean exclusion distance . As a by-product, we…
High-density hard-core model on triangular and hexagonal lattices
A. Mazel, I. Stuhl, Y. Suhov
We perform a rigorous study of the Gibbs statistics of high-density hard-core random configurations on a unit triangular lattice and a unit honeycomb graph $\mathbb{…
Dominance of most tolerant species in multi-type lattice Widom-Rowlinson models
A. Mazel, Yu. Suhov, I. Stuhl +1
We analyse equilibrium phases in a multi-type lattice Widom-Rowlinson model with (i) four particle types, (ii) varying exclusion diameters between different particle types and (iii…
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…
Improved Peierls Argument for High Dimensional Ising Models
J. L. Lebowitz, A. Mazel
We consider the low temperature expansion for the Ising model on , , with ferromagnetic nearest neighbor interactions in terms of Peierls contours. We prove that the…
Liquid-Vapor Phase Transitions for Systems with Finite Range Interactions
J. L. Lebowitz, A. Mazel, E. Presutti
We consider particles in interacting via attractive pair and repulsive four-body potentials of the Kac type. Perturbing about mean field theory, valid when the int…
Rigorous Proof of a Liquid-Vapor Phase Transition in a Continuum Particle System
J. L. Lebowitz, A. E. Mazel, E. Presutti
We consider particles in , interacting via attractive pair and repulsive four-body potentials of the Kac type. Perturbing about mean field theory, valid when…
Ordering and Demixing Transitions in Multicomponent Widom-Rowlinson Models
J. L. Lebowitz, A. Mazel, P. Nielaba +1
We use Monte Carlo techniques and analytical methods to study the phase diagram of multicomponent Widom-Rowlinson models on a square lattice: there are M species all with the same…
On the uniqueness of Gibbs states in the Pirogov-Sinai theory
J. L. Lebowitz, A. E. Mazel
We prove that, for low-temperature systems considered in the Pirogov-Sinai theory, uniqueness in the class of translation-periodic Gibbs states implies global uniqueness, i.e. the…