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Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/17860
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dc.contributor.authorPearce, C.-
dc.contributor.authorFletcher, F.-
dc.date.issued2005-
dc.identifier.citationJournal of Inequalities in Pure and Applied Mathematics, 2005; 6(5):WWW 1-WWW 15-
dc.identifier.issn1443-5756-
dc.identifier.urihttp://hdl.handle.net/2440/17860-
dc.description.abstractWe show that one half is a lower bound for the critical probability of an oriented site percolation process of Grimmett and Hiemer. This value improves the known lower bound of one third. We employ an Ansatz which we use also for a related oriented site percolation problem considered by Bishir. Monte Carlo simulation indicates a critical value of close to 0.535, so the bound appears to be fairly tight.-
dc.description.statementofresponsibilityCharles E. M. Pearce, F.K. Fletcher-
dc.language.isoen-
dc.publisherVictoria University of Technology, School of Communications and Informatics-
dc.source.urihttp://www.emis.de/journals/JIPAM/article609.html?sid=609-
dc.subjectOriented site percolation, Critical probability, Phase transition, Positive term power series.-
dc.titleOriented site percolation, phase transitions and probability bounds-
dc.typeJournal article-
pubs.publication-statusPublished-
Appears in Collections:Applied Mathematics publications
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