# On the distribution of the spherical contact vector of stationary germ-grain models

@article{Last1998OnTD, title={On the distribution of the spherical contact vector of stationary germ-grain models}, author={Guenter Last and Rolf Schassberger}, journal={Advances in Applied Probability}, year={1998}, volume={30}, pages={36 - 52} }

We consider a stationary germ-grain model Ξ with convex and compact grains and the distance r(x) from x ε ℝ d to Ξ. For almost all points x ε ℝ d there exists a unique point p(x) in the boundary of Ξ such that r(x) is the length of the vector x-p(x), which is called the spherical contact vector at x. In this paper we relate the distribution of the spherical contact vector to the times it takes a typical boundary point of Ξ to hit another grain if all grains start growing at the same time and at…

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