Distribution of size, structure and number of vacant regions in a high-intensity mosaic

DOI10.1007/BF02451430zbMath0554.60020MaRDI QIDQ3217338

Hall, Peter

Publication date: 1985

Published in: Unnamed Author (Search for Journal in Brave)

zbMATH Keywords

random setsvacancycompletely covered by random shapeshigh-intensity approximations

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Functional limit theorems; invariance principles (60F17)

Related Items (7)

A central limit theorem with applications to percolation, epidemics and Boolean models. ⋮ Qualitative and asymptotic properties of stochastic integrals related to random marked point processes ⋮ Random Euclidean coverage from within ⋮ Refined convergence for the Boolean model ⋮ Poisson-saddlepoint approximation for Gibbs point processes with infinite-order interaction: in memory of Peter Hall ⋮ Local convergence of the Boolean shell model towards the thick Poisson hyperplane process in the Euclidean space ⋮ On a conjecture of D. G. Kendall concerning the planar Crofton cell and on its Brownian counterpart

Cites Work

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• SOLUTION TO A GEOMETRICAL PROBLEM IN PROBABILITY

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