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math.PR2010
Comparisons and asymptotics for empty space hazard functions of germ-grain models
Guenter Last, Ryszard Szekli
We study stochastic properties of the empty space for stationary germ-grain models in , in particular we deal with the inner radius of the empty space with respect to a gener…
math.PR2009
Poisson process Fock space representation, chaos expansion and covariance inequalities
Guenter Last, Mathew D. Penrose
We consider a Poisson process on an arbitrary measurable space with an arbitrary sigma-finite intensity measure. We establish an explicit Fock space representation of square in…