Article,

Percolation on random Johnson-Mehl tessellations and related models

, and .
Probab. Theory Related Fields, 140 (3-4): 319--343 (2008)
DOI: 10.1007/s00440-007-0066-1

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. also: http://dx.doi.org/10.1007/s00440-007-0066-1

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