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Improved upper bounds for the critical probability of oriented percolation in two dimensions. (English) Zbl 0807.60092
Summary: We refine the method of our previous paper [Proc. R. Soc. Lond., Ser. A 440, No. 1908, 201-220 (1993; Zbl 0783.60098)] which gave upper bounds for the critical probability in two-dimensional oriented percolation. We use our refinement to show that \(p_ c < 0.6735\).

MSC:
60K35 Interacting random processes; statistical mechanics type models; percolation theory
60C05 Combinatorial probability
82B43 Percolation
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