Percolation on random Johnson-Mehl tessellations and related models
Probability
2010-02-06 v2
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.
Keywords
Cite
@article{arxiv.math/0610716,
title = {Percolation on random Johnson-Mehl tessellations and related models},
author = {Bela Bollobas and Oliver Riordan},
journal= {arXiv preprint arXiv:math/0610716},
year = {2010}
}
Comments
25 pages, 3 figures; minor revisions. To appear in Probability Theory and Related Fields