Boolean-Poisson Model

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

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Boolean-Poisson Model

Cite this as:

Stover, Chrpistopher. "Boolean-Poisson Model." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/Boolean-PoissonModel.html

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