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.

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George Boole | Siméon-Denis Poisson