Rigorous confidence intervals for critical probabilities.

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Rigorous confidence intervals for critical probabilities. Abstract Text:

Oliver Riordan,Mark Walters,Oliver Riordan,Mark Walters,

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.

Rigorous confidence intervals for critical probabilities. Publishing Authors By Initials

O Riordan,M Walters,O Riordan,M Walters,

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Rigorous confidence intervals for critical probabilities. Journal Published:

PUBLICATION TYPE: Journal Article

Journal: Physical review. E, Statistical, nonlinear, and so

VOLUME: 76

Page Numbers: 011110

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ISSN: 1539-3755

DAY: 17

MONTH: 07

YEAR: 2007

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LANGUAGE: eng

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Grant and Affiliation Information for Rigorous confidence intervals for critical probabilities.

AFFILIATION: Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge, CB3 0WB, United Kingdom.

Country: United States

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MEDLINETA: Phys Rev E Stat Nonlin Soft Ma

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