Percolation on random Johnson-Mehl tessellations and related models

Details Percolation on random Johnson-Mehl tessellations and related models Percolation on random Johnson-Mehl tessellations and related models

2006-10-24

arxiv.org/abs/math/0610716v2

Probability Theory and Related Fields 140 (2008), 319-343

Mathematics

Probability

25 pages, 3 figures; minor revisions. To appear in Probability Theory and Related Fields

Scientific paper

10.1007/s00440-007-0066-1

We make use of the recent proof that the critical probability for percolation
on random Voronoi tessellations is 1/2 to prove the corresponding result for
random Johnson-Mehl tessellations, as well as for two-dimensional slices of
higher dimensional Voronoi tessellations. Surprisingly, the proof is a little
simpler for these more complicated models.

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