Percolation on random Johnson-Mehl tessellations and related models

Abstract

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.

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

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