Approximations to hard-core models and their application to statistical analysis

1982 ◽  
Vol 19 (A) ◽  
pp. 281-292 ◽  
Author(s):  
Mark Westcott
Keyword(s):  
Statistical Analysis ◽  
Statistical Inference ◽  
Lower Bounds ◽  
Hard Core ◽  
Distribution Functions ◽  
Core Model ◽  
Upper And Lower Bounds ◽  
Nearest Neighbour ◽  
Hard Core Model

This paper derives upper and lower bounds to the distribution functions of nearest-neighbour and minimum nearest-neighbour distances between N points generated by a hard-core model on the surface of a sphere. The use of these bounds in statistical inference is discussed.

Approximations to hard-core models and their application to statistical analysis

1982 ◽  
Vol 19 (A) ◽  
pp. 281-292 ◽  
Author(s):  
Mark Westcott
Keyword(s):  
Statistical Analysis ◽  
Statistical Inference ◽  
Lower Bounds ◽  
Hard Core ◽  
Distribution Functions ◽  
Core Model ◽  
Upper And Lower Bounds ◽  
Nearest Neighbour ◽  
Hard Core Model

This paper derives upper and lower bounds to the distribution functions of nearest-neighbour and minimum nearest-neighbour distances between N points generated by a hard-core model on the surface of a sphere. The use of these bounds in statistical inference is discussed.

On a Voronoi aggregative process related to a bivariate Poisson process

1996 ◽  
Vol 28 (04) ◽  
pp. 965-981 ◽  
Author(s):  
S. G. Foss ◽  
S. A. Zuyev
Keyword(s):  
Asymptotic Behavior ◽  
Lower Bounds ◽  
Distribution Functions ◽  
Poisson Processes ◽  
Upper And Lower Bounds ◽  
Additive Functionals ◽  
Second Moments ◽  
Explicit Formulae ◽  
Bivariate Poisson Process ◽  
Sum Of Distances

We consider two independent homogeneous Poisson processes Π0 and Π1 in the plane with intensities λ0 and λ1, respectively. We study additive functionals of the set of Π0-particles within a typical Voronoi Π1-cell. We find the first and the second moments of these variables as well as upper and lower bounds on their distribution functions, implying an exponential asymptotic behavior of their tails. Explicit formulae are given for the number and the sum of distances from Π0-particles to the nucleus within a typical Voronoi Π1-cell.

scholarly journals Percolation games, probabilistic cellular automata, and the hard-core model

2018 ◽  
Vol 174 (3-4) ◽  
pp. 1187-1217 ◽  
Author(s):  
Alexander E. Holroyd ◽  
Irène Marcovici ◽  
James B. Martin
Keyword(s):  
Cellular Automata ◽  
Hard Core ◽  
Core Model ◽  
Probabilistic Cellular Automata ◽  
Hard Core Model

``Hard‐Core'' Model of Liquids

1966 ◽  
Vol 45 (1) ◽  
pp. 378-383 ◽  
Author(s):  
Neil S. Snider
Keyword(s):  
Hard Core ◽  
Core Model ◽  
Hard Core Model

scholarly journals Liquid-solid transitions in the three-body hard-core model

2015 ◽  
Vol 109 (2) ◽  
pp. 20003
Author(s):  
Tommaso Comparin ◽  
Sebastian C. Kapfer ◽  
Werner Krauth
Keyword(s):  
Hard Core ◽  
Core Model ◽  
Three Body ◽  
Hard Core Model

Phase Transitions in 2:1 and 3:1 Hard-Core Model Electrolytes

2002 ◽  
Vol 88 (4) ◽  
Author(s):  
Athanassios Z. Panagiotopoulos ◽  
Michael E. Fisher
Keyword(s):  
Phase Transitions ◽  
Hard Core ◽  
Core Model ◽  
Hard Core Model

scholarly journals The Widom–Rowlinson model, the hard-core model and the extremality of the complete graph

2017 ◽  
Vol 62 ◽  
pp. 70-76 ◽  
Author(s):  
Emma Cohen ◽  
Péter Csikvári ◽  
Will Perkins ◽  
Prasad Tetali
Keyword(s):  
Complete Graph ◽  
Hard Core ◽  
Core Model ◽  
Hard Core Model

Entropy of the hard-core model

2010 ◽  
Vol 82 (2) ◽  
Author(s):  
A. Winkler ◽  
G. Alsmeyer ◽  
O. Rubner ◽  
A. Heuer
Keyword(s):  
Hard Core ◽  
Core Model ◽  
Hard Core Model
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