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Type: Journal article
Title: Oriented site percolation, phase transitions and probability bounds
Author: Pearce, C.
Fletcher, F.
Citation: Journal of Inequalities in Pure and Applied Mathematics, 2005; 6(5):WWW 1-WWW 15
Publisher: Victoria University of Technology, School of Communications and Informatics
Issue Date: 2005
ISSN: 1443-5756
Statement of
Charles E. M. Pearce, F.K. Fletcher
Abstract: We 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.
Keywords: Oriented site percolation, Critical probability, Phase transition, Positive term power series.
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Appears in Collections:Applied Mathematics publications
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