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Journal article

Rigorous confidence intervals for critical probabilities.

Abstract:
We use the method of Balister, Bollobás, and Walters [Random Struct. Algorithms 26, 392 (2005)] to give rigorous 99.9999% confidence intervals for the critical probabilities for site and bond percolation on the 11 Archimedean lattices. In our computer calculations, the emphasis is on simplicity and ease of verification, rather than obtaining the best possible results. Nevertheless, we obtain intervals of width at most 0.0005 in all cases.
Publication status:
Published

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Publisher copy:
10.1103/physreve.76.011110
Journal:
Physical review. E, Statistical, nonlinear, and soft matter physics More from this journal
Volume:
76
Issue:
1 Pt 1
Pages:
011110
Publication date:
2007-07-01
DOI:
EISSN:
1550-2376
ISSN:
1539-3755
Language:
English
Keywords:
Pubs id:
pubs:30250
UUID:
uuid:ab155b36-f226-41c9-9feb-8e5ea8ed9b34
Local pid:
pubs:30250
Source identifiers:
30250
Deposit date:
2012-12-19

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