Rigorous confidence intervals for critical probabilities

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dc.creatorRiordan, Oliver
dc.creatorWalters, Mark
dc.date2007-02-08
dc.date.accessioned2026-07-07T13:12:46Z
dc.date.available2026-07-07T13:12:46Z
dc.descriptionWe use the method of Balister, Bollobas and Walters 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.
dc.identifierhttps://arxiv.org/abs/math/0702232
dc.identifierhttp://arxiv.org/abs/math/0702232
dc.identifierPhysical Review E 76, 011110 (2007)
dc.identifierdoi:10.1103/PhysRevE.76.011110
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229677
dc.subjectProbability
dc.subjectCombinatorics
dc.subject60K35; 05c80
dc.titleRigorous confidence intervals for critical probabilities
dc.typetext

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