The disk model is the standard Boolean-Poisson model in two-dimensional continuum percolation theory. In particular, the disk model is characterized by the existence of a Poisson process X in R^2 which distributes the centers x element X of a collection of closed disks (i.e., two-dimensional closed balls) D_x along with a random process ρ which independently assigns random radii ρ_x to each D_x. The disks which make up the disk model are known as random disks.

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