Percolation on random Johnson-Mehl tessellations and related models

Bela Bollobas; Oliver Riordan

doi:10.1007/s00440-007-0066-1

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arXiv · math/0610716

Percolation on random Johnson-Mehl tessellations and related models

Bela Bollobas·Oliver Riordan

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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.

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BibTeX RIS

Bela Bollobas, Oliver Riordan. 2006-10-24. Percolation on random Johnson-Mehl tessellations and related models. https://doi.org/10.1007/s00440-007-0066-1

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