In continuum percolation theory , the Boolean-Poisson model is a Boolean model driven
by a stationary point process Poisson process .
The Boolean-Poisson model is unique among continuum percolation models in that it
is among the most studied such models, a fact likely attributable to the similarities
between it and the site model in discrete percolation theory .
Historically, the Boolean-Poisson model is sometimes called a Boolean model (Hanisch 1981).
See also AB Percolation ,
Bernoulli Percolation Model ,
Bond Percolation ,
Boolean
Model ,
Bootstrap Percolation ,
Cayley
Tree ,
Cluster ,
Cluster
Perimeter ,
Continuum Percolation Theory ,
Dependent Percolation ,
Discrete
Percolation Theory ,
Disk Model ,
First-Passage
Percolation ,
Germ-Grain Model ,
Inhomogeneous
Percolation Model ,
Lattice Animal ,
Long-Range
Percolation Model ,
Mixed Percolation Model ,
Oriented Percolation Model ,
Percolation ,
Percolation Theory ,
Percolation
Threshold ,
Polyomino ,
Random-Cluster
Model ,
Random-Connection Model ,
Random Walk ,
s -Cluster,
s -Run,
Site Percolation
This entry contributed by Chrpistopher
Stover
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References Hanisch, K. H. "On Classes of Random Sets and Point Process Models." Serdica Bulgariacae Mathematicae Publicationes 7 ,
160-166, 1981. Meester, R. and Roy, R. Continuum
Percolation.
Cite this as:
Stover, Chrpistopher . "Boolean-Poisson Model." From MathWorld Eric
W. Weisstein . https://mathworld.wolfram.com/Boolean-PoissonModel.html
Subject classifications
which is a Poisson process.
The Boolean-Poisson model is unique among continuum percolation models in that it
is among the most studied such models, a fact likely attributable to the similarities
between it and the site model in discrete percolation theory.
