5 papers
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…
On weighted partial triangulations of convex polygons
Antonio Blanca, Alexandre Stauffer, Izabella Stuhl
We study the problem of sampling weighted partial triangulations of a convex polygon with sides. We consider the distribution under which each partial triangulati…
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…
Percolation and Criticality in Hyperuniform Networks
Yongyi Wang, Jaeuk Kim, Yang Jiao +3
Hyperuniform many-particle systems, which encompass crystals, quasicrystals and certain exotic disordered systems, exhibit an anomalous suppression of density fluctuations on macro…
Queueing models with random resetting
Dongzhou Huang, Guodong Pang, Izabella Stuhl +1
We introduce and study some queueing models with random resetting, including Markovian and non--Markovian models under the first-come first-served (FCFS) discipline. The Markovian…