Boolean model

Abstract

In most modern literature, a Boolean model is a probabilistic model of continuum percolation theory characterized by the existence of a stationary point process X and a random variable rho which independently determine the centers and the random radii of a collection of closed balls in R^d for some d. In this case, the model is said to be driven by X. Worth noting is that the most intuitive ideas about constructing a feasible model using X and rho often lead to unexpected and undesirable...