24 citations · 103 across the 25 of their papers we have counts for
26 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 triangulation…
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 +4
Disordered hyperuniform many-particle systems exhibit an anomalous suppression of density fluctuations on macroscopic length scales relative to those of conventional disordered sys…
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…
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…
Enumeration of involutory latin quandles, Bruck loops and commutative automorphic loops of odd prime power order
Izabella Stuhl, Petr Vojtěchovský
There is a one-to-one correspondence between involutory latin quandles and uniquely -divisible Bruck loops. Bruck loops of odd prime power order are centrally nilpotent. Using l…
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{…
How fragile are information cascades?
Yuval Peres, Miklos Z. Racz, Allan Sly +1
It is well known that sequential decision making may lead to information cascades. That is, when agents make decisions based on their private information, as well as observing the…
Weighted entropy: basic inequalities
Mark Kelbert, Izabella Stuhl, Yuri Suhov
This paper represents an extended version of an earlier note [10]. The concept of weighted entropy takes into account values of different outcomes, i.e., makes entropy context-depe…
Weighted entropy and optimal portfolios for risk-averse Kelly investments
Mark Kelbert, Izabella Stuhl, Yuri Suhov
Following a series of works on capital growth investment, we analyse log-optimal portfolios where the return evaluation includes `weights' of different outcomes. The results are tw…
Weighted information and entropy rates
Yuri Suhov, Izabella Stuhl
The weighted entropy of a random variable with values and a probability-mass/density function is defined as the mean value ${\mathbb E}…
On principles of large deviation and selected data compression
Yuri Suhov, Izabella Stuhl
The Shannon Noiseless coding theorem (the data-compression principle) asserts that for an information source with an alphabet and an asymptotic e…
Basic inequalities for weighted entropies
Yuri Suhov, Izabella Stuhl, Salimeh Yasaei Sekeh +1
The concept of weighted entropy takes into account values of different outcomes, i.e., makes entropy context-dependent, through the weight function. In this paper, we establish a n…
Nilpotent Steiner loops of class 2
A. Grishkov, D. Rasskazova, M. Rasskazova +1
We describe Steiner loops of nilpotency class 2 and establish the classification of finite 3-generated nilpotent Steiner loops of nilpotency class 2.
Half-isomorphisms of Moufang loops
Michael Kinyon, Izabella Stuhl, Petr Vojtechovsky
We prove that if the squaring map in the factor loop of a Moufang loop over its nucleus is surjective, then every half-isomorphism of onto a Moufang loop is either an isomo…
Weighted Gaussian entropy and determinant inequalities
Y. Suhov, S. Yasaei Sekeh, I. Stuhl
We produce a series of results extending information-theoretical inequalities (discussed by Dembo--Cover--Thomas in 1989-1991) to a weighted version of entropy. The resulting inequ…
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…
Oriented Steiner quasigroups
Izabella Stuhl
We introduce the notion of an oriented Steiner quasigroup and develop elements of a relevant algebraic apparatus. The approach is based upon (modified) Schreier-type -extensions…
The Moufang's theorem for non-Moufang loops
Izabella Stuhl
We introduce a class of non-Moufang loops satisfying the Moufang's theorem.