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Sharp thresholds and percolation in the plane

Abstract:
Recently, the authors showed that the critical probability for random Voronoi percolation in the plane is 1/2. A by-product of the method was a short proof of the Harris-Kesten Theorem concerning bond percolation in the planar square lattice. The aim of this paper is to show that the same techniques can be applied to many other planar percolation models, both to obtain short proofs of known results, and to prove new ones.
Publication status:
Published

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Publisher copy:
10.1002/rsa.20134

Authors


Bollobas, B More by this author
Riordan, O More by this author
Journal:
Random Structures and Algorithms 29 (2006), 524--548.
Volume:
29
Issue:
4
Pages:
524-548
Publication date:
2004-12-28
DOI:
EISSN:
1098-2418
ISSN:
1042-9832
URN:
uuid:8ba7d011-3e68-4ca4-982c-8cacb5090b95
Source identifiers:
27897
Local pid:
pubs:27897
Language:
English
Keywords:

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