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- W2593442242 abstract "AbstractWe study a particular class of stationary random closed sets in called Poisson k-cylinder models (P-k-CM’s) for . We show that all P-k-CM’s are weakly mixing and possess long-range correlations. Further, we derive necessary and sufficient conditions in terms of the directional distribution of the cylinders under which the corresponding P-k-CM is mixing. Regarding the P--CM as union of ‘thick hyperplanes’ which generates a stationary process of polytopes we prove that the distribution of the polytope containing the origin does not depend on the thickness of the hyperplanes." @default.
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- W2593442242 date "2017-01-15" @default.
- W2593442242 modified "2023-09-23" @default.
- W2593442242 title "Mixing properties of stationary Poisson cylinder models" @default.
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- W2593442242 doi "https://doi.org/10.1080/17442508.2016.1276912" @default.
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