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Central Limit Theorems for Volume and Surface Content of Stationary Poisson Cylinder Processes in Expanding Domains
A stationary Poisson cylinder process in the d -dimensional Euclidean space is composed of a stationary Poisson process of k -flats (0 ≤ k ≤ d −1) which are dilated by independent and identically distributed random compact cylinder bases taken from the corresponding ( d−k )-dimensional orthogonal complement. If the …