Percolation on random Johnson-Mehl tessellations and related models

Authors

Béla Bollobás, Faculty of MathematicsFollow
Oliver Riordan, Faculty of Mathematics

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. © 2007 Springer-Verlag.

Publication Title

Probability Theory and Related Fields

Recommended Citation

Bollobás, B., & Riordan, O. (2008). Percolation on random Johnson-Mehl tessellations and related models. Probability Theory and Related Fields, 140 (3-4), 319-343. https://doi.org/10.1007/s00440-007-0066-1