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
Description
MR: Publications results for "MR Number=(2365477)"
%0 Journal Article
%1 bollobas-crystallization
%A Bollobás, Béla
%A Riordan, Oliver
%D 2008
%J Probab. Theory Related Fields
%K Johnson-Mehl Voronoi_cells percolation
%N 3-4
%P 319--343
%R 10.1007/s00440-007-0066-1
%T Percolation on random Johnson-Mehl tessellations and related models
%U http://arxiv.org/abs/math/0610716
%V 140
%X 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
@article{bollobas-crystallization,
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},
added-at = {2009-12-02T23:08:11.000+0100},
author = {Bollob{\'a}s, B{\'e}la and Riordan, Oliver},
biburl = {https://www.bibsonomy.org/bibtex/2c239dc2696adbf58fa32775a12be9ba4/peter.ralph},
coden = {PTRFEU},
description = {MR: Publications results for "MR Number=(2365477)"},
doi = {10.1007/s00440-007-0066-1},
fjournal = {Probability Theory and Related Fields},
interhash = {75aea5691399194e484c6a1ebb274e26},
intrahash = {c239dc2696adbf58fa32775a12be9ba4},
issn = {0178-8051},
journal = {Probab. Theory Related Fields},
keywords = {Johnson-Mehl Voronoi_cells percolation},
mrclass = {60K35 (82B43)},
mrnumber = {MR2365477 (2008j:60228)},
mrreviewer = {Rongfeng Sun},
number = {3-4},
pages = {319--343},
timestamp = {2009-12-02T23:08:11.000+0100},
title = {Percolation on random {J}ohnson-{M}ehl tessellations and related models},
url = {http://arxiv.org/abs/math/0610716},
volume = 140,
year = 2008
}