Article,

Random Johnson-Mehl Tessellations

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Advances in Applied Probability, 24 (4): 814--844 (1992)

Abstract

A unified exposition of random Johnson-Mehl tessellations in d-dimensional Euclidean space is presented. In particular, Johnson-Mehl tessellations generated by time-inhomogeneous Poisson processes and nucleation-exclusion models are studied. The 'practical' cases d=2 and d=3 are discussed in detail. Several new results are established, including first- and second-order moments of various characteristics for both Johnson-Mehl tesselations and sectional Johnson-Mehl tessellations.

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