In continuum percolation theory , the Boolean-Poisson model is a Boolean model driven
by a stationary point process 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 .

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. New York: Cambridge University Press, 2008.
Cite this as:
Stover, Chrpistopher . "Boolean-Poisson Model." From MathWorld --A Wolfram Web Resource, created by Eric
W. Weisstein . https://mathworld.wolfram.com/Boolean-PoissonModel.html

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