Random Johnson-Mehl tessellations

Authors
Møller, Jesper
Citation
Møller, Jesper, Random Johnson-Mehl tessellations, Advances in applied probability , 24(4), 1992, pp. 814-844
Journal title
Advances in applied probability → ACNP
ISSN journal
00018678
Volume
24
Issue
4
Year of publication
1992
Pages
814 - 844
Database
ACNP
SICI code
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.